Education
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Osaka University Graduate School, Division of Natural Science
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Osaka University 理学研究科 数学
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Osaka University Faculty of Science
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Osaka University School of Science Department of Mathematics
Degree
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Master of Science
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Doctor of Science
Association Memberships
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2020.01
The american mathematical society, life member
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日本数学会
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日本数学教育学会
Research Areas
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Natural sciences / Basic mathematics / モデル理論
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Natural sciences / Basic mathematics / 順序極小構造
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Natural sciences / Basic mathematics / 局所順序極小構造
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Natural sciences / Basic mathematics / 実代数学幾何学
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Natural sciences / Basic mathematics / d-minimal structure
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Natural sciences / Geometry
Classes (including Experimental Classes, Seminars, Graduation Thesis Guidance, Graduation Research, and Topical Research)
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2023 Seminar of Mathematical EducationA4 Specialized Subjects
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2023 Seminar of Mathematical EducationA3 Specialized Subjects
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2023 Seminar of Mathematical EducationA2 Specialized Subjects
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2023 Seminar of Mathematical EducationA1 Specialized Subjects
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2023 Research on Teaching Materials in Arithmetics Specialized Subjects
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2023 Introduction to Geometry Specialized Subjects
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2023 Applied Analysis Specialized Subjects
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2023 Introduction to Differential Manifolds A Specialized Subjects
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2023 Introduction to Metric Spaces Technology Specialized Subjects
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2023 Kyosyoku jissen ensyuu Specialized Subjects
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2023 Calculus in Higher Dimensions Specialized Subjects
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2022 Kyosyoku jissen ensyuu Specialized Subjects
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2022 Seminar of Mathematical EducationA4 Specialized Subjects
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2022 Seminar of Mathematical EducationA3 Specialized Subjects
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2022 Seminar of Mathematical EducationA2 Specialized Subjects
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2022 Seminar of Mathematical EducationA1 Specialized Subjects
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2022 Research on Teaching Materials in Arithmetics Specialized Subjects
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2022 Introduction to Geometry Specialized Subjects
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2022 Applied Analysis Specialized Subjects
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2022 Introduction to Differential Manifolds A Specialized Subjects
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2022 Introduction to Metric Spaces Technology Specialized Subjects
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2022 Calculus in Higher Dimensions Specialized Subjects
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2021 Seminar of Mathematical Education D Specialized Subjects
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2021 Seminar of Mathematical Education C Specialized Subjects
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2021 Seminar of Mathmatical Education Specialized Subjects
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2021 Research on Teaching Materials in Arithmetics Specialized Subjects
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2021 Introduction to Geometry Specialized Subjects
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2021 Applied Analysis Specialized Subjects
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2021 Seminar of Mathmatical Education B Specialized Subjects
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2021 Seminar of Mathmatical Education A Specialized Subjects
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2021 Introduction to Differential Manifolds A Specialized Subjects
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2021 Introduction to Metric Spaces Technology Specialized Subjects
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2021 Calculus in Higher Dimensions Specialized Subjects
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2021 Kyosyoku jissen ensyuu Specialized Subjects
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2020 Kyosyoku jissen ensyuu Specialized Subjects
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2020 Seminar of Mathematical Education D Specialized Subjects
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2020 Seminar of Mathematical Education C Specialized Subjects
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2020 Seminar of Mathmatical Education Specialized Subjects
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2020 Research on Teaching Materials in Arithmetics Specialized Subjects
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2020 Introduction to Geometry Specialized Subjects
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2020 Applied Analysis Specialized Subjects
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2020 Seminar of Mathmatical Education B Specialized Subjects
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2020 Seminar of Mathmatical Education A Specialized Subjects
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2020 Introduction to Differential Manifolds A Specialized Subjects
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2020 Introduction to Metric Spaces Technology Specialized Subjects
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2020 Calculus in Higher Dimensions Specialized Subjects
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2019 Seminar of Mathematical Education D Specialized Subjects
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2019 Seminar of Mathematical Education C Specialized Subjects
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2019 Seminar of Mathmatical Education Specialized Subjects
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2019 Research on Teaching Materials in Arithmetics Specialized Subjects
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2019 Introduction to Geometry Specialized Subjects
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2019 Applied Analysis Specialized Subjects
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2019 Seminar of Mathmatical Education B Specialized Subjects
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2019 Seminar of Mathmatical Education A Specialized Subjects
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2019 Introduction to Differential Manifolds A Specialized Subjects
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2019 Introduction to Metric Spaces Technology Specialized Subjects
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2019 Calculus in Higher Dimensions Specialized Subjects
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2019 NA Specialized Subjects
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2018 NA Liberal Arts and Sciences Subjects
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2018 NA Specialized Subjects
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2018 NA Specialized Subjects
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2018 NA Specialized Subjects
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2018 Seminar of Mathmatical Education Specialized Subjects
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2018 Seminar of Mathmatical Education Specialized Subjects
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2018 Research on Teaching Materials in Arithmetics Specialized Subjects
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2018 Introduction to Geometry Specialized Subjects
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2018 Applied Analysis Specialized Subjects
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2018 Seminar of Mathmatical Education B Specialized Subjects
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2018 Seminar of Mathmatical Education A Specialized Subjects
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2018 Introduction to Differential Manifolds A Specialized Subjects
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2018 Introduction to Metric Spaces Technology Specialized Subjects
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2018 Calculus in Higher Dimensions Specialized Subjects
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2017 Applied Analysis Specialized Subjects
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2017 Introduction to Geometry Specialized Subjects
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2017 Introduction to Metric Spaces Technology Specialized Subjects
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2017 Introduction to Metric Spaces Technology Specialized Subjects
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2017 Introduction to Differential Manifolds A Specialized Subjects
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2017 Applied Analysis Specialized Subjects
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2017 NA Specialized Subjects
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2017 NA Specialized Subjects
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2017 Introduction to Geometry Specialized Subjects
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2017 Applied Analysis Specialized Subjects
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2017 Seminar of Mathmatical Education B Specialized Subjects
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2017 Seminar of Mathmatical Education A Specialized Subjects
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2017 Introduction to Differential Manifolds A Specialized Subjects
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2017 Introduction to Metric Spaces Technology Specialized Subjects
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2017 Mathematics and Code Liberal Arts and Sciences Subjects
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2016 Applied Analysis Specialized Subjects
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2016 Introduction to Geometry Specialized Subjects
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2016 Introduction to Metric Spaces Technology Specialized Subjects
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2016 Introduction to Metric Spaces Technology Specialized Subjects
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2016 Introduction to Differential Manifolds A Specialized Subjects
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2016 Seminar of Mathmatical Education B Specialized Subjects
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2016 Seminar of Mathmatical Education A Specialized Subjects
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2016 NA Specialized Subjects
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2016 Seminar of Mathmatical Education B Specialized Subjects
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2016 Seminar of Mathmatical Education A Specialized Subjects
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2016 NA Specialized Subjects
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2016 Introduction to Geometry Specialized Subjects
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2016 Applied Analysis Specialized Subjects
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2016 Introduction to Differential Manifolds A Specialized Subjects
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2016 Introduction to Metric Spaces Technology Specialized Subjects
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2016 Mathematics and Code Liberal Arts and Sciences Subjects
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2015 NA Specialized Subjects
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2015 NA Specialized Subjects
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2015 Seminar of Mathmatical Education A Specialized Subjects
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2015 Mathematics B Liberal Arts and Sciences Subjects
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2015 Introduction to Differential Manifolds A Specialized Subjects
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2015 Seminar of Mathmatical Education B Specialized Subjects
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2015 Mathematics AⅡ Liberal Arts and Sciences Subjects
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2015 Introduction to Metric Spaces Technology Specialized Subjects
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2015 Applied Analysis Specialized Subjects
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2014 NA Specialized Subjects
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2014 NA Specialized Subjects
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2014 NA Specialized Subjects
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2014 Applied Analysis Specialized Subjects
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2014 Seminar of Mathmatical Education B Specialized Subjects
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2014 Seminar of Mathmatical Education A Specialized Subjects
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2014 Introduction to Differential Manifolds A Specialized Subjects
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2014 Introduction to Metric Spaces Technology Specialized Subjects
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2014 Mathematics B Liberal Arts and Sciences Subjects
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2014 Mathematics AⅡ Liberal Arts and Sciences Subjects
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2013 NA Specialized Subjects
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2013 Applied Analysis Specialized Subjects
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2013 Seminar of Mathmatical Education B Specialized Subjects
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2013 Seminar of Mathmatical Education A Specialized Subjects
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2013 Introduction to Differential Manifolds A Specialized Subjects
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2013 Introduction to Metric Spaces Technology Specialized Subjects
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2013 Mathematics B Liberal Arts and Sciences Subjects
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2013 Mathematics AⅡ Liberal Arts and Sciences Subjects
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2012 NA Specialized Subjects
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2012 NA Specialized Subjects
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2012 NA Specialized Subjects
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2012 Mathematics AⅡ Liberal Arts and Sciences Subjects
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2012 Introduction to Metric Spaces Technology Specialized Subjects
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2012 Seminar of Mathmatical Education B Specialized Subjects
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2012 Mathematical Statistics Science Specialized Subjects
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2012 Introduction to Differential Manifolds A Specialized Subjects
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2012 Seminar of Mathmatical Education A Specialized Subjects
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2012 Mathematics B Liberal Arts and Sciences Subjects
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2012 Seminar of Mathmatical Education A Specialized Subjects
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2012 Mathematics B Liberal Arts and Sciences Subjects
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2012 Introduction to Differential Manifolds A Specialized Subjects
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2012 Mathematical Statistics Science Specialized Subjects
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2012 Seminar of Mathmatical Education B Specialized Subjects
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2012 Mathematics AⅡ Liberal Arts and Sciences Subjects
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2012 Introduction to Metric Spaces Technology Specialized Subjects
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2011 NA Specialized Subjects
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2011 Mathematics AⅡ Liberal Arts and Sciences Subjects
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2011 Introduction to Metric Spaces Technology Specialized Subjects
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2011 Mathematical Statistics Science Specialized Subjects
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2011 Introduction to Differential Manifolds A Specialized Subjects
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2011 Seminar of Mathmatical Education A Specialized Subjects
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2011 Mathematics B Liberal Arts and Sciences Subjects
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2011 Seminar of Mathematical Environments Specialized Subjects
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2011 Seminar of Mathmatical Education A Specialized Subjects
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2011 Introduction to Differential Manifolds B Specialized Subjects
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2011 Mathematics B Liberal Arts and Sciences Subjects
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2011 Seminar of Mathmatical Education B Specialized Subjects
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2011 Seminar of Mathmatical Education A Specialized Subjects
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2011 Introduction to Differential Manifolds B Specialized Subjects
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2011 Introduction to Differential Manifolds A Specialized Subjects
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2011 Introduction to Metric Spaces Technology Specialized Subjects
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2010 NA Specialized Subjects
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2010 NA Liberal Arts and Sciences Subjects
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2010 Seminar of Mathmatical Education B Specialized Subjects
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2010 Introduction to Differential Manifolds A Specialized Subjects
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2010 Overall Seminar A Specialized Subjects
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2010 Seminar on Natural Environments (Mathematical Science) Specialized Subjects
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2010 Symmetry in Nature(Group Theory) of Sociology Specialized Subjects
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2009 Seminar of Mathmatical Education B Specialized Subjects
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2009 Seminar of Mathmatical Education A Specialized Subjects
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2009 Seminar on Natural Environments (Mathematical Science) Specialized Subjects
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2009 Overall Seminar B Specialized Subjects
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2009 Mathematics AⅡ Liberal Arts and Sciences Subjects
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2009 Symmetry in Nature(Group Theory) of Sociology Specialized Subjects
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2009 Introduction to Differential Manifolds A Specialized Subjects
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2009 Introduction to Metric Spaces Technology Specialized Subjects
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2008 Seminar of Mathmatical Education B Specialized Subjects
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2008 Linear Algebra Ⅰ Specialized Subjects
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2008 Seminar of Mathmatical Education A Specialized Subjects
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2008 Overall Seminar C Specialized Subjects
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2008 Seminar on Natural Environments (Mathematical Science) Specialized Subjects
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2008 Introduction to Metric Spaces Technology Specialized Subjects
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2008 Mathematics AⅡ Liberal Arts and Sciences Subjects
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2008 Introduction to Differential Manifolds A Specialized Subjects
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2008 Mathematics AⅠ Liberal Arts and Sciences Subjects
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2007 Seminar of Mathmatical Education B Specialized Subjects
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2007 Linear Algebra Ⅰ Specialized Subjects
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2007 Seminar of Mathmatical Education A Specialized Subjects
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2007 Overall Seminar C Specialized Subjects
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2007 Seminar on Natural Environments (Mathematical Science) Specialized Subjects
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2007 Introduction to Metric Spaces Technology Specialized Subjects
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2007 Mathematics AⅡ Liberal Arts and Sciences Subjects
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2007 Introduction to Differential Manifolds A Specialized Subjects
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2007 Mathematics AⅠ Liberal Arts and Sciences Subjects
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2006 Seminar of Mathmatical Education B Specialized Subjects
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2006 NA Specialized Subjects
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2006 Linear Algebra Ⅰ Specialized Subjects
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2006 Seminar of Mathmatical Education A Specialized Subjects
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2006 Seminar on Natural Environments (Mathematical Science) Specialized Subjects
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2006 Introduction to Metric Spaces Technology Specialized Subjects
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2006 Mathematics AⅡ Liberal Arts and Sciences Subjects
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2006 Introduction to Differential Manifolds A Specialized Subjects
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2006 Mathematics AⅠ Liberal Arts and Sciences Subjects
Satellite Courses
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2021 NA Liberal Arts and Sciences Subjects
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2020 NA Liberal Arts and Sciences Subjects
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2019 NA Liberal Arts and Sciences Subjects
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2018 NA Liberal Arts and Sciences Subjects
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2017 NA Liberal Arts and Sciences Subjects
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2016 NA Liberal Arts and Sciences Subjects
Classes
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2019 Exercises on Geometry Master's Course
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2019 Lectures on Geometry Master's Course
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2019 NA Master's Course
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2018 Exercises on Geometry Master's Course
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2018 Lectures on Geometry Master's Course
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2016 Exercises on Geometry Master's Course
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2016 Lectures on Geometry Master's Course
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2015 Exencises on Geometry Ⅱ
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2015 Lectures on Geometry Ⅱ
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2014 NA
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2014 NA
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2014 Exencises on Geometry Ⅱ
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2014 Lectures on Geometry Ⅱ
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2013 Exencises on Geometry Ⅱ
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2013 Lectures on Geometry Ⅱ
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2012 Lectures on Geometry Ⅱ
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2012 Exencises on Geometry Ⅱ
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2012 Exencises on Geometry Ⅱ
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2012 Lectures on Geometry Ⅱ
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2011 Lectures on Geometry Ⅱ
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2011 Exencises on Geometry Ⅱ
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2011 Lectures on Geometry Ⅱ Master's Course
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2011 Exencises on Geometry Ⅱ Master's Course
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2010 Lectures on Geometry Ⅱ Master's Course
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2010 Exencises on Geometry Ⅱ Master's Course
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2009 Lectures on Geometry Ⅱ Master's Course
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2009 Exencises on Geometry Ⅱ Master's Course
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2008 Exencises on Geometry Ⅱ Master's Course
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2008 Lectures on Geometry Ⅱ Master's Course
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2007 Exencises on Geometry Ⅱ Master's Course
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2007 Lectures on Geometry Ⅱ Master's Course
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2006 Exencises on Geometry Ⅱ Master's Course
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2006 Lectures on Geometry Ⅱ Master's Course
Papers and Awards Received Related to Improving Education
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2022 研究奨励金事業 日本教育公務員弘済会和歌山支部 Domestic
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2016 研究奨励金事業 日本教育公務員弘済会和歌山支部 Domestic
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2010 研究奨励金事業 日本教育公務員弘済会和歌山支部 Domestic
Research Interests
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Locally o-minimal
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d-minimal structure
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実代数幾何学
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Transformation groups
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変換群論
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Real algebraic geometry
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O-minimal
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Weakly o-minimal
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definably complete
Published Papers
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An equivariant definable version of a theorem of J.H.C. Whitehead
川上 智博
和歌山大学教育学部紀要. 自然科学 67 1 - 6 2017.02
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A lecture for high school students on curves induced from circles
Kawakami Tomohiro
和歌山大学教育学部教育実践総合センター紀要 ( 和歌山大学教育学部附属教育実践総合センター ) ( 25 ) 85 - 87 2015
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Definable G homotopy extensions
"Kawakami Tomohiro"
Bulletin of the Faculty of Education, Wakayama University. Natural science ( Wakayama University ) 64 9 - 11 2014.02
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Equivariant definable Morse functions in definably complete structures
"Kawakami Tomohiro"
Bulletin of the Faculty of Education, Wakayama University. Natural science ( Wakayama University ) 63 23 - 28 2013.02
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Definable Morse functions in a real closed field
Kawakami Tomohiro
Bulletin of the Faculty of Education, Wakayama University. Natural science ( Wakayama University ) 62 35 - 38 2012.02
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A definable strong G retract of a definable G set in a real closed field
Kawakami Tomohiro
Bulletin of the Faculty of Education, Wakayama University. Natural science ( Wakayama University ) 61 7 - 11 2011.02
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A note on exponentially Nash G manifolds and vector bundles
川上 智博
Science bulletin of Josai University, Special Issue ( 城西大学理学部 ) 2 63 - 75 1997
Books etc
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初歩からの線形代数
長崎生光・牛瀧文宏・川上智博・原靖浩・小林雅子
講談社 2013.12
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G manifolds and G vector bundles in algebraic, semialgebraic, and definable categories.
Current Trends in Math 2001
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A note on expovetially Nash G manifolds and vector bundles
Science Bulletin of Josai University 1997
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Nash structures of C<sup>r</sup>Gmanifolds and C<sup>r</sup>G vector bundles.
in "Real and Complex Singularities" published by Longman. 1995
Misc
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離散極小構造上のデファイナブルMorse関数
藤田雅人, 川上智博 (Part: Last author )
モデル理論における独立概念と次元の研究 2024.12 [Invited]
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デファイナブリーC^r商空間
藤田雅人, 川上智博 (Part: Last author )
京都大学数理解析研究所講究録 2276 8 - 38 2024.02 [Invited]
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デファイナブルC^r埋め込み定理
藤田雅人, 川上智博 (Part: Last author )
2023RIMS Model Theory Workshop 2023.12 [Invited]
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デファイナブリー完備局所順序極小構造上のデファイナブルC^r商空間
藤田雅人, 川上智博 (Part: Last author )
変換群論の幾何とトポロジー 2023.06 [Invited]
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デファイナブル固有商空間について
藤田雅人, 川上智博 (Part: Last author )
京都大学数理解析研究所 講究録 2249 23 - 26 2023.04 [Invited]
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デファイナブル位相について
藤田雅人, 川上智博 (Part: Last author )
京都大学数理解析研究所 講究録 2231 15 - 23 2022.11 [Invited]
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Tameness of definably complete locally o‐minimal structures and definable bounded multiplication
Masato Fujita, Tomohiro Kawakami, Wataru Komine
Mathematical Logic Quarterly ( Wiley ) 68 ( 4 ) 496 - 515 2022.08 [Refereed]
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On definable topology locally o-minimal case
Masato Fujita, Tomohiro Kawakami (Part: Corresponding author )
変換群論の新潮流 2022.05 [Invited]
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Pseudo definable spaces
藤田雅人, 川上智博, 小峰航 (Part: Corresponding author )
京都大学数理解析研究所 講究録 2218 1 - 6 2022.05 [Invited]
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デファイナブル空間の拡張としての擬デファイナブル空間
藤田雅人, 川上智博 (Part: Corresponding author )
モデル理論における独立概念と次元の研究 2021.12 [Invited]
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Definably complete locally o-minimal structure having bounded definable multiplication
藤田雅人, 川上智博 (Part: Last author )
モデル理論夏の学校2021 2021.09 [Invited]
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New developments of transformation groups
Tomohiro Kawakami (Part: Corresponding author )
講究録「変換群論の新展開」の編集者 2021.09 [Invited]
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中学校数学授業研究
川上智博・北山秀隆・西山尚志・山本紀代
和歌山大学教育学部連携事業2019年度成果報告書 73 - 74 2020.02
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Simultaneously definable C^r compactification
川上智博 (Part: Lead author )
2019.09
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Zero set theorem of a definable closed set
川上智博 (Part: Lead author )
京都大学数理解析研究所講究録 2119 1 - 4 2019.07 [Invited]
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中学校数学授業研究
川上智博・北山秀隆・西山尚志・山本紀代
和歌山大学教育学部連携事業平成30年度成果報告書 81 - 82 2019.02
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Definable t-regularity theorem
川上智博 (Part: Lead author )
Bulletin of Faculty of Education Wakayama University, Natural Science 69 1 - 4 2019.02
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強デファナブルC^rファイバー束の強デファイナブルC^{\infty}ファイバー束構造について
川上智博 (Part: Lead author )
京都大学数理解析研究所講究録 2098 1 - 7 2018.12 [Invited]
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指数的順序極小構造上のデファイナブルC^{\infty}級多様体の埋め込みについて
川上智博
2018.11 [Invited]
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Every strongly definable C^r G vector bundle admits a unique strongly definable C^{\infty} G vector bundle structure
川上智博
2018.06 [Invited]
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An affine definable C^r G manifold admits a unique affine definable C^{\infty} G mannifold structure
川上智博 (Part: Lead author )
Bulletin of Faculty of Education Wakayama University, Natural Science 68 7 - 13 2018.02
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Definable G vector bundles over a definable G set with a free action
川上 智博 (Part: Lead author )
Bulletin of Faculty of Education Wakayama University, Natural Science 67 7 - 9 2017.02
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J.H.C. Whiteheadの定理の同変デファイナブル版について (新しい変換群論とその周辺)
川上 智博
数理解析研究所講究録 ( 京都大学数理解析研究所 ) ( 2016 ) 1 - 7 2017.01
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Definable proper actions and equivariant definable Tietze extension
Kawakami Tomohiro
Bulletin of Faculty of Education Wakayama University, Natural Science ( 和歌山大学教育学部 ) 66 1 - 3 2016.02
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Kawakami Tomohiro
RIMS Kokyuroku ( Kyoto University ) 1938 10 - 14 2015.04
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A definable Borsuk-Ulam type theorem
Kawakami Tomohiro, Nagasaki Ikumitsu (Part: Lead author, Corresponding author )
Bulletin of Faculty of Education Wakayama University, Natural Science ( 和歌山大学教育学部 ) 65 9 - 13 2015.02
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Kawakami Tomohiro
RIMS Kokyuroku ( Kyoto University ) 1922 1 - 7 2014.10
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Kawakami Tomohiro
RIMS Kokyuroku ( Kyoto University ) 1888 1 - 8 2014.04
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Definable slices
Tomohiro Kawakami
Bulletin of Faculty of Education Wakayama University, Natural Science 64 1 - 8 2014.02
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初歩からの線形代数
長崎生光、牛瀧文宏、川上智博、原靖浩、小林雅子
講談社 2013.12 [Invited]
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Locally o-minimal structures
Tomohiro Kawakami, Kota Takeuchi, Hiroshi Tanaka, Akito Tsuboi (Part: Lead author, Corresponding author )
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN ( MATH SOC JAPAN ) 64 ( 3 ) 783 - 797 2012.07 [Refereed]
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Representative definable C^r functions on definable C^r groups
Kawakami Tomohiro (Part: Lead author, Corresponding author )
Bulletin of Faculty of Education Wakayama University, Natural Science ( Wakayama University ) 62 31 - 34 2012.02
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局所順序極小構造について (モデル理論における独立概念と次元の研究)
川上 智博, 竹内 耕太, 田中 広志, 坪井 明人
数理解析研究所講究録 ( 京都大学 ) 1741 28 - 33 2011.05
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A transverse condition of definable C^r G maps
Kawakami Tomohiro (Part: Lead author, Corresponding author )
Bulletin of Faculty of Education Wakayama University, Natural Science ( Wakayama University ) 61 13 - 16 2011.02
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KAWAKAMI TOMOHIRO, TANAKA HIROSHI
RIMS Kokyuroku ( Kyoto University ) 1718 58 - 63 2010.10
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Locally definable fiber bundles
Kawakami Tomohiro (Part: Lead author )
Bulletin of the Faculty of Education, Wakayama University. Natural science ( Wakayama University ) 60 25 - 29 2010.02
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Definable fiber bundles in an o-minimal expansion of a real closed field
Kawakami Tomohiro
Bulletin of the Faculty of Education, Wakayama University. Natural science ( Wakayama University ) 60 15 - 23 2010.02
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A lecture for high school students on brachistochrone
Kawakami Tomohiro
Bulletin of the Center for Educational Research and Training ( Wakayama University ) 20 45 - 48 2010
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The Smith homology and Borsu-Ulam type theorems
長崎生光・川上智博・原靖浩・牛瀧文宏 (Part: Corresponding author )
Far East Journal of Mathematical Sciences 38 205 - 216 2010 [Refereed]
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実閉体上へのBorsuk-Ulam型定理の拡張について (変換群論の新たな展開)
長崎 生光, 川上 智博, 原 靖浩, 牛瀧 文宏
数理解析研究所講究録 ( 京都大学 ) 1670 47 - 50 2009.12
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Nagasaki Ikumitsu, Kawakami Tomohiro, Hara Yasuhiro, Ushitaki Fumihiro
RIMS Kokyuroku ( Kyoto University ) 1670 34 - 39 2009.12
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デファイナブル$C^rG$多様体とその部分多様体の同時コンパクト化について (弱順序極小構造上での実代数幾何の研究)
川上 智博
数理解析研究所講究録 ( 京都大学 ) 1646 18 - 22 2009.04
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Relative properties of definable C^rG manifolds
Kawakami Tomohiro
Bulletin of the Faculty of Education, Wakayama University. Natural science ( Wakayama University ) 59 11 - 19 2009.02
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Kawakami Tomohiro
Bulletin of the Faculty of Education, Wakayama University. Natural science ( Wakayama University ) 59 21 - 27 2009.02
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A lecture for high school students on regular polyhedrons
Kawakami Tomohiro
Bulletin of the Center for Educational Research and Training ( Wakayama University ) 19 81 - 83 2009
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デファイナブル$C^2$多様体とそのデファイナブル$C^2$部分多様体の微分可能性の同時格上げについて (変換群の幾何とその周辺)
川上 智博
数理解析研究所講究録 ( 京都大学 ) 1612 1 - 5 2008.09
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同変 Morse 理論のデファイナブルカテゴリーへの一般化(Borsuk-Ulam 型定理の変換群論的アプローチ)
川上 智博
数理解析研究所講究録 ( 京都大学 ) 1575 1 - 6 2008.01
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Definable Cr fiber bundles and definable CrG vector bundles
Tomohiro Kawakami
Communications of the Korean Mathematical Society ( Korean Mathematical Society ) 23 ( 2 ) 257 - 268 2008
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Definable C^r groups and proper definable actions
川上 智博
Bulletin of Faculty of Education Wakayama University, Natural Science. 58 9 - 18 2008
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川上 智博
Bulletin of Faculty of Education Wakayama University, Natural Science. 58 1 - 8 2008
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Equivariant definable Morse functions on definable C^r manifolds.
(Part: Lead author )
Far East Journal of Mathematical Sciences. 28 175-188. 2008 [Refereed]
-
Definable C^{\infty} fiber bundles and definable C^{\infty} G vector bundles.
Far East Journal of Mathematical Sciences. 30 27 - 44. 2008
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弱順序極小な実閉体上での関数の微分の definability について(モデル理論における独立概念と次元)
田中 広志, 川上 智博
数理解析研究所講究録 ( 京都大学 ) 1555 23 - 26 2007.05
-
Some open problems in o-minimal expansion of the field of real numbers.
Bulletin of Faculty of Education Wakayama University, Natural Science. 57 1 - 7 2007
-
Definable relative covering homotopy theorem and covering mapping cylinder conjecture.
Bulletin of Faculty of Education Wakayama University, Natural Science. 57 9 - 18 2007
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C^r strong cell decompositions in non-valuational weakly o-minimal real closed fields.
Hiroshi tanaka, tomohiro kawakami
Far East Journal of Mathematical Sciences. 25 417 - 431 2007
-
Examples on calculus educations in Wakayama University and Doshisha University
川上智博, 長瀬昭子, 森淳秀, 近藤弘一
和歌山大学教育学部教育実践総合センター紀要. 17 75 - 80 2007
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順序極小構造上のデファイナブルG集合のデファイナブルG CW 複体構造の存在とその応用(変換群論の手法)
川上 智博
数理解析研究所講究録 ( 京都大学 ) 1517 115 - 119 2006.10
-
Equivariant definable triangulations of definable G sets.
Bulletin of Faculty of Education Wakayama University, Natural Science. 56 13 - 16 2006
-
Locally definable C^s G maifold structures of locally C^r G manifolds.
Bulletin of Faculty of Education Wakayama University, Natural Science. 56 1 - 12 2006
-
A Whitney type theorem in o-minimal structures (New Evolution of Transformation Group Theory)
川上 智博
数理解析研究所講究録 ( 京都大学数理解析研究所 ) 1449 105 - 108 2005.09
-
Every definable C^r manifold is affine.
Bulletin of the Korean Mathematical Society. 42 165-167. 2005
-
Every compactifiable C∞ manifold admits uncountably many algebraic models.
Bulletin of Faculty of Education Wakayama University, Natural Science. 55 21-22. 2005
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Equivariant definable C^r approximation theorem, definable C^r G triviality of definable C^r G maps and Nash G compactifications.
Bulletin of Faculty of Education Wakayama University, Natural Science. 55 23 - 36 2005
-
A note on geometric educations in Faculty of Education Wakayama University
川上 智博
和歌山大学教育学部教育実践総合センター紀要. 15 83 - 84 2005
-
Kawakami Tomohiro
RIMS Kokyuroku ( Kyoto University ) 1393 102 - 105 2004.09
-
Definable G CW complex structures of definable G sets and their applications.
Bulletin of Faculty of Education Wakayama University, Natural Science. 54 1-15. 2004
-
Transformation groups and semi-groups.
Tomohiro kawakami
Encyclopedia of General Topology. 379-385. 2004
-
Kawakami Tomohiro
RIMS Kokyuroku ( Kyoto University ) 1343 31 - 45 2003.10
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Homotopy property for definable fiber bundles.
Tomohiro kawakami
Bulletin of Faculty of Education Wakayama University, Natural Science. 53 1 - 6 2003
-
Affineness of definable C^r manifolds and its applications.
Bulletin of the Korean Mathematical Society. 40 149 - 157 2003
-
Kawakami Tomohiro
RIMS Kokyuroku ( Kyoto University ) 1290 121 - 126 2002.10
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Equivariant semialgebraic vector bundles
Myung-Jun Choi, Tomohiro Kawakami, Dae Heui Park
Topology and its Applications 123 ( 2 ) 383 - 400 2002.09
-
Equivariant differential topology in an o-minimal expansion of the field of real numbers
Tomohiro Kawakami
Topology and its Applications 123 ( 2 ) 323 - 349 2002.09
-
Equivariant semialgebraic vector bundles
MJ Choi, T Kawakami, DH Park
TOPOLOGY AND ITS APPLICATIONS ( ELSEVIER SCIENCE BV ) 123 ( 2 ) 383 - 400 2002.09
-
Equivariant differential topology in an o-minimal expansion of the field of real numbers
T Kawakami
TOPOLOGY AND ITS APPLICATIONS ( ELSEVIER SCIENCE BV ) 123 ( 2 ) 323 - 349 2002.09
-
川上 智博
Bull.Fac.Edu.Wakayama Univ. ( 和歌山大学教育学部 ) 1-15 1 - 15 2002
-
閉C<sup>∞</sup>G多様体とその閉C<sup>∞</sup>G部分多様体の対代数的現実について.
2002
-
代数的,半代数的およびデファイナブルカテゴリーにおけるG多様体とGベクトル束について
予定 2001
-
(R,t.・,c)への順序極小拡張での同変微分トポロジーについて
2001
-
川上 智博
Bulletin of the Faculty of Education,Wakayama University. Natural science ( 和歌山大学教育学部 ) 51 1 - 10 2001
-
Algebraic and Nash realizations of vector bundles, and triviality of equivariant algebraic and Nash rector bundles.
Bull. Fac. Edu. Natur. Sci. Wakayama University 51 1 - 10 2001
-
Locally Nash structures of G manifolds.
川上 智博
Bull. Fac. Edu. Natur. Sci. WAKAYAMA University ( 和歌山大学教育学部 ) 50 ( 50 ) 1 - 16 2000
-
G多様体の局所Nash多様体構造について
和歌山大学教育学部紀要 50 1 - 16 2000
-
(R,+,・<)上の順序極小構造上の多様体の埋め込みについて
36 183 - 201 1999
-
Imbeddings of manifolds defined on an minimal structure on (R,+,・<)
Bull, Korean, Math. Soc, 36 183 - 201 1999
-
多様体の代数的・Nash構造と(R,T,;,C)の順序極小拡張上のG多様体について
2 10 - 18 1999
-
Simultanoous Nash structurs of a compactifiable C<sup>∞</sup>G manifold and its C<sup>∞</sup>G submanifolds
Bulletin of the faculty of Education Wakayama University 49 1 - 20 1999
-
Simultaneous Nash Structures of a Compactifiable C∞G manifold and its C∞G submanifolds
川上 智博
Bulletin of the Faculty of Education,Wakayama University. Natural science ( 和歌山大学教育学部 ) 49 ( 49 ) 1 - 20 1999
-
Algebraic and Nash Structures of C<sup>∞</sup>G manifolds, and definable G manifoldo in an o-minimal Expansion of(R, T, ; C).
Trends in Mathematics 2 10 - 18 1999
-
Definable G vactor bundles over a definable G set and its quotient space
Kawakami Tomohiro
Bulletin of Osaka Prefectural College of Technology ( 大阪府立工業高等専門学校 ) 31 ( 31 ) 61 - 67 1997
-
Definable G Vector Bundles over a Definable G Set and its Quotient Space
Kawakami Tomohiro
Bulletin of Osaka Prefectural College of Technology ( 大阪府立工業高等専門学校 ) 31 ( 31 ) 61 - 67 1997
-
群作用をもった指数Nashベクトル束について
京都大学数理解析研究所講究録 1006 138 - 145 1997
-
同変指数Nash多様体とそのベクトル束について
城西大学理学部研究報告 特別号(Speciallssue) ( 2 ) 63 - 75 1997
-
Equivariant expovetially Nash Vector bundles
Taiwanese Journal of Mathematics 1 ( 2 ) 217 - 229 1997
-
Exponentially Nash vector bundles with group action
Surikaiseki-kenkyusyo kokyuroku 1006 138 - 145 1997
-
同変指数Nashベクトル束について
Tawamese J.Math 1 ( 2 ) 217 - 229 1997
-
Nash G manifold structures of compact or compactifiable C(infinity)G manifolds
T Kawakami
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN ( MATH SOC JAPAN ) 48 ( 2 ) 321 - 331 1996.04
-
コンパクトまたはコンパクト化可能なC<sup>∞</sup>G多様体のNash G多様体構造について
J. Math Soc.Japan 48 321 - 331 1996
-
O-minimal構造上のCurve selection lemmaとその応用
大阪府立工業高等専門学校紀要 30 89 - 94 1996
-
Curve selection lemma and its application in the O-minimal structure.
Kawakami Tomohiro
Bulletin of Osaka Prefectural College of Technology ( 大阪府立工業高等専門学校 ) 30 ( 30 ) 89 - 94 1996
-
Equivariant Artin-Mazur Theorem and its Application
Kawakami Tomohiro
Bulletin of Osaka Prefectural Technical College. ( 大阪府立工業高等専門学校 ) 29 ( 29 ) 63 - 68 1995
-
実代数的Gベクトル束と実代数的Gバラエティの多項式G同型と有理式G同型
Bull. Korean Math Soc. 73-83 1995
-
Equivariaut Artin-Mazur Theorem and its application.
Kawakami Tomohiro
Bulletin of Osaka Prefectural College of Technology. ( 大阪府立工業高等専門学校 ) 29 ( 29 ) 63 - 68 1995
-
Polynomial and rational Gisomorphisms of real algebraic G vector bundles and real algebraic G varieties.
Bull, Korean Math. Soc. 32 73-83 1995
-
C<sup>r</sup>G多様体とC<sup>r</sup>Gベクトル束のNash構造について
「実特異点と複素特異点」 1995
-
NONISOMORPHIC ALGEBRAIC MODELS OF NASH MANIFOLDS AND COMPACTIFIABLE C-INFINITY MANIFOLDS
T KAWAKAMI
OSAKA JOURNAL OF MATHEMATICS ( OSAKA JOURNAL OF MATHEMATICS ) 31 ( 4 ) 831 - 835 1994.12
-
C^rG vector bundles and Nash G manifolds
Kawakami Tomohiro
大阪府立工業高等専門学校研究紀要 ( 大阪府立工業高等専門学校 ) 28 71 - 75 1994
-
C<sup>r</sup>G vector bundles and Nash Gmanifolds
Bulletin of Osaka Prefectural College of Technology 28 71 - 75 1994
-
代数的Gベクトル束とNash Gベクトル束
Chinese J.Math 275-289 1994
-
Nash多様型の非同型代数モデルについて
大阪府立工業高等専門学校紀要 31, 831-835 1994
-
Semialgebraic G vector bundles over a semialgebraic G set with free action
Kawakami Tomohiro, Fujita Ryousuke
Bulletin of Osaka Prefectural Technical College. ( 大阪府立工業高等専門学校 ) 77-79 ( 28 ) p77 - 79 1994
-
Algebraic G vector bundles and Nash G vector bundles
Chinese Journal of Mathematics 22 275-289 1994
-
Semialgebraic G vector bundles over a semialgebraic G subset with free action
Kawakami Tomohiro, Fujita Ryousuke
Bulletinof Osaka Preticturol College of Technology28 ( 大阪府立工業高等専門学校 ) 77-79 ( 28 ) p77 - 79 1994
-
A Note on Duality in G-algebras over Dedekind Domains
Kobayashi Naoyuki, Kawakami Tomohiro
Bulletin of Osaka Prefectural Technical College. ( 大阪府立工業高等専門学校 ) 27,89-95 ( 27 ) p89 - 95 1993
-
Any real algebraic G set is imbeddable into some representation of G
Kawakami Tomohiro
Bulletin of Osaka Prefectural College of Technology ( 大阪府立工業高等専門学校 ) 27,85-88 ( 27 ) p85 - 88 1993
-
Duality in G-algebras over Dedekind domains
Kobayashi Naoyuki, Kawakami Tomohiro
Bulletin of Osaka Prefectural College of Technology ( 大阪府立工業高等専門学校 ) 27,89-95 ( 27 ) p89 - 95 1993
-
ナッシュベクトル束の同変一般化
大阪府立工業高等専門学校研究紀要 26 1992
-
An Equivariant Generalization of Nash Vector Bundles
Kawakami Tomohiro
Bulletin of Osaka Prefectural College of Technology ( 大阪府立工業高等専門学校 ) 26 ( 26 ) p79 - 83 1992
Works
-
対Gボルディズム類の代数的現実について
2001 -
Definable GCW complexes and their applications
2001 -
デファイナブルG集合のデファイナブルGCW複体構造の存在とその応用
2001 -
Algebraic realizations of relative G bordism classes
2001 -
代数的,半代数的,デファイナブルカテゴリー上のG多様体CGベクトル束について.
2001 -
G-manifolds and G-rector bundles in algebraic, semialgebraic, and definable categories.
2001 -
Equirariant semialgebraic vector bundles
2000 -
Gmanifolds in an O-mimimal expansion of (R,t.・,c)
2000 -
Piecewise triviality of Ginrariant definable C<sup>r</sup> maps and compactification of definable C<sup>r</sup>G manifolds.
2000 -
同変半代数的ベクトル束について
2000 -
ベクトル束の代数的実現について
2000 -
G不変C<sup>r</sup> definable写像の局所自明性とdefinable C<sup>r</sup>G多様体のコンパクト化について
2000 -
G多様体の順序極小構造上への拡張について
2000 -
Algebraic realization of vector bundles.
2000 -
Algebraic realizations of vector bundles on a compactifiable C<sup>∞</sup>manifold.
1999 -
Equivariant manifolds defined on O-minimal structures.
1999 -
コンパクト化可能多様上のベクトル束の代数的実現について
1999 -
順序極小構造上の同変多様体について.
1999 -
(R,X'・)上の順序極小構造上へのNashG多様体の拡張について
1998 -
Manifolds on an O-minimal Structure
1997 -
O-minimal 講造上の多様体論について
1997 -
Expoventially Nash G vactor bundles
1997 -
指数NashGベクトル束について
1997 -
Simultaneous Nash Structures of a pair of a C<sup>∞</sup>G manifold and its C<sup>∞</sup>G sabmanifolds.
1996 -
Exponentially Nash G manifold structures of C<sup>∞</sup>Gmanifolds
1996 -
C<sup>∞</sup>G多様体とその部分G多様体の同時Nash構造について
1996 -
C<sup>∞</sup>多様体の指数Nash G多様体構造について
1996 -
Algebraic structuers of strongly Nash vector bundles
1995 -
Nash structures of C<sup>∞</sup> vector bundles
1995 -
C<sup>∞</sup>Gベクトル束のNash構造について
1995 -
Strongly Nashベクトル束の代数的構造について
1995 -
Algebraic structuers of Nash vector bundles a Nash manifold
1995 -
Nash多様体上のNashベクトル束の代数的構造について
1995 -
Nash structures of C<sup>∞</sup>Gmanifolds, vector bundles, and Lie groups.
1994 -
Nash structures of C<sup>∞</sup>Gmanifolds and C<sup>∞</sup>G vector bundles.
1994 -
Nash Gmanifold structures of C<sup>∞</sup>Gmanifolds.
1994 -
C<sup>∞</sup>G多様体,ベクトル束,およびリー群のNash構造について
1994 -
リー群の局所Nash群構造およびNash群構造について
1994 -
Nash Gmanifold structures of Gmanifolds.
1994 -
C<sup>∞</sup>多様体のNashG多様体構造について
1994 -
C<sup>∞</sup>G多様体とC<sup>∞</sup>Gベクトル束のNash構造について
1994 -
G多様体のNashG多様体構造について
1994 -
Locally Nash group structures and Nash group structures of Lie groups.
1994 -
代数的Gベクトル束の有理自明性について
1993 -
Rational triviality of algebraic Gvector bumdles.
1993 -
半代数的Gベクトル束について
1992 -
Notes on omialgebraic G vector bundles.
1992 -
An example which shows a difference between polynomial G isomorphism and rational G isomorphism.
1991 -
多項式G同型と有理式G同型の差を示す例について
1991 -
Polynomial and rational G isomorphism of G vector bundles
1991 -
Gベクトル束の代数的G同型と多項式G同型について
1991
Awards & Honors
-
Top Cited Article
Winner: 藤田雅人, 川上智博, 小峰航
2024.04 Wiley Tameness of definably complete locally o-minimal structures and definable bounded multiplication
-
Top Downloaded Article
Winner: Masato Fujita, Tomohiro Kawakami and Wataru Komine
2024.03 Wiley Tameness of definably complete locally o-minimal structures and definable bounded multiplication
Conference Activities & Talks
-
部分的に積がデファイナブルとなるデファイナブリー完備局所順序極小構造について
藤田雅人, 川上智博, 小峰航 [Invited]
和歌山大学研究会 2022.12.17
-
デファイナブル固有商空間
藤田雅人, 川上智博 [Invited]
モデル理論における独立概念と次元の研究 2022.12.13
-
On definable topology locally o-minimal case
Masato Fujita, Tomohiro Kawakami [Invited]
変換群論の新潮流 2022.05.24
-
有界デファイナブル積をもったデファナブリー完備局所順序極小構造1(1)
藤田雅人, 川上智博 [Invited]
モデル理論夏の学校2021 2021.09.05
-
有界デファイナブル積をもったデファナブリー完備局所順序極小構造1(2)
藤田雅人, 川上智博 [Invited]
モデル理論夏の学校2021 2021.09.05
-
局所デファイナブルC^{\infty}G多様体について
川上智博 [Invited]
モデル理論における独立概念と次元の研究 2020.12.07
-
Simultaneously definable C^r compactification
川上智博 [Invited]
モデル理論夏の学校研集会2019 2019.09.02
-
指数的順序極小空間上のデファイナブルC^{\infty}級多様体の埋め込みについて
川上智博 [Invited]
大阪大学変換群論研究会 2018.11.14
-
T-regularity theorem in o-minimal structures
川上智博 [Invited]
Morel Theory Summer school 2018 2018.09.11
-
Every strongly definable C^r G vector bundle admits a unique strongly definable C^{\infty} G vector bundle structure
川上智博 [Invited]
Model theoretic aspects of the notion of independence and dimension 2017.12.04
-
Affine definable C^{\infty}G manifold structures in an o-minimal structure
川上智博 [Invited]
第44回変換群論シンポジウム 2017.11.17
-
Definable C^r submanifolds in a definable C^r manifold
川上智博 [Invited]
第42回変換群論シンポジウム 2015.11.26
-
Finiteness of orbit types of definably proper actions
川上智博 [Invited]
新しい変換群論の幾何 2015.05.25
KAKENHI
-
Borsuk-Ulam型不変量と同変写像の存在問題
2023.04-2027.03Grant-in-Aid for Scientific Research(C) Co-investigator
-
群作用の軌道構造を保つ同変写像の存在問題および分類問題の研究
2011.04-2014.03Grant-in-Aid for Scientific Research(C) Co-investigator
Competitive funding, donations, etc. from foundation, company, etc.
-
教育学部寄附金(公益財団法人日本教育公務員弘済会和歌山支部研究助成)
2022.08-2023.03Research subsidy Principal investigator
Instructor for open lecture, peer review for academic journal, media appearances, etc.
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レフェリー
2024.12-2025.01非公開
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2024.09-2024.11非公開
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2024.08.02和歌山県高等学校数学教育研究会
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2024.02.29和歌山市
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2022.11.18和歌山県高等学校 数学教育研究会
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和歌山大学教育学部 准教授
2021.11.19和歌山県高等学校数学教育研究会
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第68回近畿算数・数学教育研究奈良大会指導者
2021.11.19和歌山県高等学校数学教育研究会
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2021.04-2021.05非公開
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2021.01-2021.02非公開
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和歌山大学教育学部 准教授
2020.11.13和歌山県高等学校数学教育研究会
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レフェリー
2020.06-Now非公開
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2020.04-Now非公開
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レビューワー
2016.04-Nowアメリカ数学会
Course for renewal of teaching license, teacher-librarian course, etc. (contracted business)
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2021 【選択】平面や空間の再認識(教員免許状更新講習)
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2020 【選択】平面や空間の再認識(コロナ対策のため開講中止)(教員免許更新講習)
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2019 平面と空間の再認識(教員免許状更新講習)
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2018 平面と空間の再認識(教員免許状更新講習)
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2017 平面と空間の再認識(教員免許状更新講習)
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2016 平面と空間の再認識(教員免許状更新講習)
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2015 平面と空間の再認識(教員免許状更新講習)
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2014 平面と空間の再認識(教員免許状更新講習)
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2013 平面と空間の再認識(教員免許状更新講習)
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2012 平面と空間の再認識(教員免許状更新講習)
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2011 平面と空間の再認識(教員免許状更新講習)
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2010 平面と空間の再認識(教員免許状更新講習)
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2009 平面と空間の再認識(教員免許状更新講習)
Committee member history in academic associations, government agencies, municipalities, etc.
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指導助言者
2021.11-Now第70回近畿算数・数学教育研究奈良大会
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編集者
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