Faculty Profiles - KAWAKAMI Tomohiro

写真a

KAWAKAMI Tomohiro

Name of department

Faculty of Education, Mathematics Education

Job title

Associate Professor

Mail Address

Homepage

External link

Education

Osaka University Graduate School, Division of Natural Science
Osaka University 理学研究科数学
Osaka University Faculty of Science
Osaka University School of Science Department of Mathematics

Degree

Master of Science
Doctor of Science

Association Memberships

2020.01

The american mathematical society, life member
日本数学会
日本数学教育学会

Research Areas

Natural sciences / Basic mathematics / モデル理論
Natural sciences / Basic mathematics / 順序極小構造
Natural sciences / Basic mathematics / 局所順序極小構造
Natural sciences / Basic mathematics / 実代数学幾何学
Natural sciences / Basic mathematics / d-minimal structure
Natural sciences / Geometry

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Classes (including Experimental Classes, Seminars, Graduation Thesis Guidance, Graduation Research, and Topical Research)

2022 Kyosyoku jissen ensyuu Specialized Subjects
2022 Seminar of Mathematical EducationA4 Specialized Subjects
2022 Seminar of Mathematical EducationA3 Specialized Subjects
2022 Seminar of Mathematical EducationA2 Specialized Subjects
2022 Seminar of Mathematical EducationA1 Specialized Subjects
2022 Research on Teaching Materials in Arithmetics Specialized Subjects
2022 Introduction to Geometry Specialized Subjects
2022 Applied Analysis Specialized Subjects
2022 Introduction to Differential Manifolds A Specialized Subjects
2022 Introduction to Metric Spaces Technology Specialized Subjects
2022 Calculus in Higher Dimensions Specialized Subjects
2021 Seminar of Mathematical Education D Specialized Subjects
2021 Seminar of Mathematical Education C Specialized Subjects
2021 Seminar of Mathmatical Education Specialized Subjects
2021 Research on Teaching Materials in Arithmetics Specialized Subjects
2021 Introduction to Geometry Specialized Subjects
2021 Applied Analysis Specialized Subjects
2021 Seminar of Mathmatical Education B Specialized Subjects
2021 Seminar of Mathmatical Education A Specialized Subjects
2021 Introduction to Differential Manifolds A Specialized Subjects
2021 Introduction to Metric Spaces Technology Specialized Subjects
2021 Calculus in Higher Dimensions Specialized Subjects
2021 Kyosyoku jissen ensyuu Specialized Subjects
2020 Kyosyoku jissen ensyuu Specialized Subjects
2020 Seminar of Mathematical Education D Specialized Subjects
2020 Seminar of Mathematical Education C Specialized Subjects
2020 Seminar of Mathmatical Education Specialized Subjects
2020 Research on Teaching Materials in Arithmetics Specialized Subjects
2020 Introduction to Geometry Specialized Subjects
2020 Applied Analysis Specialized Subjects
2020 Seminar of Mathmatical Education B Specialized Subjects
2020 Seminar of Mathmatical Education A Specialized Subjects
2020 Introduction to Differential Manifolds A Specialized Subjects
2020 Introduction to Metric Spaces Technology Specialized Subjects
2020 Calculus in Higher Dimensions Specialized Subjects
2019 Seminar of Mathematical Education D Specialized Subjects
2019 Seminar of Mathematical Education C Specialized Subjects
2019 Seminar of Mathmatical Education Specialized Subjects
2019 Research on Teaching Materials in Arithmetics Specialized Subjects
2019 Introduction to Geometry Specialized Subjects
2019 Applied Analysis Specialized Subjects
2019 Seminar of Mathmatical Education B Specialized Subjects
2019 Seminar of Mathmatical Education A Specialized Subjects
2019 Introduction to Differential Manifolds A Specialized Subjects
2019 Introduction to Metric Spaces Technology Specialized Subjects
2019 Calculus in Higher Dimensions Specialized Subjects
2019 NA Specialized Subjects
2018 NA Liberal Arts and Sciences Subjects
2018 NA Specialized Subjects
2018 NA Specialized Subjects
2018 NA Specialized Subjects
2018 Seminar of Mathmatical Education Specialized Subjects
2018 Seminar of Mathmatical Education Specialized Subjects
2018 Research on Teaching Materials in Arithmetics Specialized Subjects
2018 Introduction to Geometry Specialized Subjects
2018 Applied Analysis Specialized Subjects
2018 Seminar of Mathmatical Education B Specialized Subjects
2018 Seminar of Mathmatical Education A Specialized Subjects
2018 Introduction to Differential Manifolds A Specialized Subjects
2018 Introduction to Metric Spaces Technology Specialized Subjects
2018 Calculus in Higher Dimensions Specialized Subjects
2017 Applied Analysis Specialized Subjects
2017 Introduction to Geometry Specialized Subjects
2017 Introduction to Metric Spaces Technology Specialized Subjects
2017 Introduction to Metric Spaces Technology Specialized Subjects
2017 Introduction to Differential Manifolds A Specialized Subjects
2017 Applied Analysis Specialized Subjects
2017 NA Specialized Subjects
2017 NA Specialized Subjects
2017 Introduction to Geometry Specialized Subjects
2017 Applied Analysis Specialized Subjects
2017 Seminar of Mathmatical Education B Specialized Subjects
2017 Seminar of Mathmatical Education A Specialized Subjects
2017 Introduction to Differential Manifolds A Specialized Subjects
2017 Introduction to Metric Spaces Technology Specialized Subjects
2017 Mathematics and Code Liberal Arts and Sciences Subjects
2016 Applied Analysis Specialized Subjects
2016 Introduction to Geometry Specialized Subjects
2016 Introduction to Metric Spaces Technology Specialized Subjects
2016 Introduction to Metric Spaces Technology Specialized Subjects
2016 Introduction to Differential Manifolds A Specialized Subjects
2016 Seminar of Mathmatical Education B Specialized Subjects
2016 Seminar of Mathmatical Education A Specialized Subjects
2016 NA Specialized Subjects
2016 Seminar of Mathmatical Education B Specialized Subjects
2016 Seminar of Mathmatical Education A Specialized Subjects
2016 NA Specialized Subjects
2016 Introduction to Geometry Specialized Subjects
2016 Applied Analysis Specialized Subjects
2016 Introduction to Differential Manifolds A Specialized Subjects
2016 Introduction to Metric Spaces Technology Specialized Subjects
2016 Mathematics and Code Liberal Arts and Sciences Subjects
2015 NA Specialized Subjects
2015 NA Specialized Subjects
2015 Seminar of Mathmatical Education A Specialized Subjects
2015 Mathematics B Liberal Arts and Sciences Subjects
2015 Introduction to Differential Manifolds A Specialized Subjects
2015 Seminar of Mathmatical Education B Specialized Subjects
2015 Mathematics AⅡ Liberal Arts and Sciences Subjects
2015 Introduction to Metric Spaces Technology Specialized Subjects
2015 Applied Analysis Specialized Subjects
2014 NA Specialized Subjects
2014 NA Specialized Subjects
2014 NA Specialized Subjects
2014 Applied Analysis Specialized Subjects
2014 Seminar of Mathmatical Education B Specialized Subjects
2014 Seminar of Mathmatical Education A Specialized Subjects
2014 Introduction to Differential Manifolds A Specialized Subjects
2014 Introduction to Metric Spaces Technology Specialized Subjects
2014 Mathematics B Liberal Arts and Sciences Subjects
2014 Mathematics AⅡ Liberal Arts and Sciences Subjects
2013 NA Specialized Subjects
2013 Applied Analysis Specialized Subjects
2013 Seminar of Mathmatical Education B Specialized Subjects
2013 Seminar of Mathmatical Education A Specialized Subjects
2013 Introduction to Differential Manifolds A Specialized Subjects
2013 Introduction to Metric Spaces Technology Specialized Subjects
2013 Mathematics B Liberal Arts and Sciences Subjects
2013 Mathematics AⅡ Liberal Arts and Sciences Subjects
2012 NA Specialized Subjects
2012 NA Specialized Subjects
2012 NA Specialized Subjects
2012 Mathematics AⅡ Liberal Arts and Sciences Subjects
2012 Introduction to Metric Spaces Technology Specialized Subjects
2012 Seminar of Mathmatical Education B Specialized Subjects
2012 Mathematical Statistics Science Specialized Subjects
2012 Introduction to Differential Manifolds A Specialized Subjects
2012 Seminar of Mathmatical Education A Specialized Subjects
2012 Mathematics B Liberal Arts and Sciences Subjects
2012 Seminar of Mathmatical Education A Specialized Subjects
2012 Mathematics B Liberal Arts and Sciences Subjects
2012 Introduction to Differential Manifolds A Specialized Subjects
2012 Mathematical Statistics Science Specialized Subjects
2012 Seminar of Mathmatical Education B Specialized Subjects
2012 Mathematics AⅡ Liberal Arts and Sciences Subjects
2012 Introduction to Metric Spaces Technology Specialized Subjects
2011 NA Specialized Subjects
2011 Mathematics AⅡ Liberal Arts and Sciences Subjects
2011 Introduction to Metric Spaces Technology Specialized Subjects
2011 Mathematical Statistics Science Specialized Subjects
2011 Introduction to Differential Manifolds A Specialized Subjects
2011 Seminar of Mathmatical Education A Specialized Subjects
2011 Mathematics B Liberal Arts and Sciences Subjects
2011 Seminar of Mathematical Environments Specialized Subjects
2011 Seminar of Mathmatical Education A Specialized Subjects
2011 Introduction to Differential Manifolds B Specialized Subjects
2011 Mathematics B Liberal Arts and Sciences Subjects
2011 Seminar of Mathmatical Education B Specialized Subjects
2011 Seminar of Mathmatical Education A Specialized Subjects
2011 Introduction to Differential Manifolds B Specialized Subjects
2011 Introduction to Differential Manifolds A Specialized Subjects
2011 Introduction to Metric Spaces Technology Specialized Subjects
2011 NA Liberal Arts and Sciences Subjects
2010 NA Specialized Subjects
2010 NA Liberal Arts and Sciences Subjects
2010 Seminar of Mathmatical Education B Specialized Subjects
2010 Introduction to Differential Manifolds A Specialized Subjects
2010 Overall Seminar A Specialized Subjects
2010 Seminar on Natural Environments (Mathematical Science) Specialized Subjects
2010 Symmetry in Nature(Group Theory) of Sociology Specialized Subjects
2009 Seminar of Mathmatical Education B Specialized Subjects
2009 Seminar of Mathmatical Education A Specialized Subjects
2009 Seminar on Natural Environments (Mathematical Science) Specialized Subjects
2009 Overall Seminar B Specialized Subjects
2009 Mathematics AⅡ Liberal Arts and Sciences Subjects
2009 Symmetry in Nature(Group Theory) of Sociology Specialized Subjects
2009 Introduction to Differential Manifolds A Specialized Subjects
2009 Introduction to Metric Spaces Technology Specialized Subjects
2008 Seminar of Mathmatical Education B Specialized Subjects
2008 Linear Algebra Ⅰ Specialized Subjects
2008 Seminar of Mathmatical Education A Specialized Subjects
2008 Overall Seminar C Specialized Subjects
2008 Seminar on Natural Environments (Mathematical Science) Specialized Subjects
2008 Introduction to Metric Spaces Technology Specialized Subjects
2008 Mathematics AⅡ Liberal Arts and Sciences Subjects
2008 Introduction to Differential Manifolds A Specialized Subjects
2008 Mathematics AⅠ Liberal Arts and Sciences Subjects
2007 Seminar of Mathmatical Education B Specialized Subjects
2007 Linear Algebra Ⅰ Specialized Subjects
2007 Seminar of Mathmatical Education A Specialized Subjects
2007 Overall Seminar C Specialized Subjects
2007 Seminar on Natural Environments (Mathematical Science) Specialized Subjects
2007 Introduction to Metric Spaces Technology Specialized Subjects
2007 Mathematics AⅡ Liberal Arts and Sciences Subjects
2007 Introduction to Differential Manifolds A Specialized Subjects
2007 Mathematics AⅠ Liberal Arts and Sciences Subjects
2006 Seminar of Mathmatical Education B Specialized Subjects
2006 NA Specialized Subjects
2006 Linear Algebra Ⅰ Specialized Subjects
2006 Seminar of Mathmatical Education A Specialized Subjects
2006 Seminar on Natural Environments (Mathematical Science) Specialized Subjects
2006 Introduction to Metric Spaces Technology Specialized Subjects
2006 Mathematics AⅡ Liberal Arts and Sciences Subjects
2006 Introduction to Differential Manifolds A Specialized Subjects
2006 Mathematics AⅠ Liberal Arts and Sciences Subjects

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Satellite Courses

2021 NA Liberal Arts and Sciences Subjects
2020 NA Liberal Arts and Sciences Subjects
2019 NA Liberal Arts and Sciences Subjects
2018 NA Liberal Arts and Sciences Subjects
2017 NA Liberal Arts and Sciences Subjects
2016 NA Liberal Arts and Sciences Subjects

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Classes

2019 Exercises on Geometry Master's Course
2019 Lectures on Geometry Master's Course
2019 NA Master's Course
2018 Exercises on Geometry Master's Course
2018 Lectures on Geometry Master's Course
2016 Exercises on Geometry Master's Course
2016 Lectures on Geometry Master's Course
2015 Exencises on Geometry Ⅱ
2015 Lectures on Geometry Ⅱ
2014 NA
2014 NA
2014 Exencises on Geometry Ⅱ
2014 Lectures on Geometry Ⅱ
2013 Exencises on Geometry Ⅱ
2013 Lectures on Geometry Ⅱ
2012 Lectures on Geometry Ⅱ
2012 Exencises on Geometry Ⅱ
2012 Exencises on Geometry Ⅱ
2012 Lectures on Geometry Ⅱ
2011 Lectures on Geometry Ⅱ
2011 Exencises on Geometry Ⅱ
2011 Lectures on Geometry Ⅱ Master's Course
2011 Exencises on Geometry Ⅱ Master's Course
2010 Lectures on Geometry Ⅱ Master's Course
2010 Exencises on Geometry Ⅱ Master's Course
2009 Lectures on Geometry Ⅱ Master's Course
2009 Exencises on Geometry Ⅱ Master's Course
2008 Exencises on Geometry Ⅱ Master's Course
2008 Lectures on Geometry Ⅱ Master's Course
2007 Exencises on Geometry Ⅱ Master's Course
2007 Lectures on Geometry Ⅱ Master's Course
2006 Exencises on Geometry Ⅱ Master's Course
2006 Lectures on Geometry Ⅱ Master's Course

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Papers and Awards Received Related to Improving Education

2022 研究奨励金事業日本教育公務員弘済会和歌山支部 Domestic
2016 研究奨励金事業日本教育公務員弘済会和歌山支部 Domestic
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

Locally o-minimal
d-minimal structure
実代数幾何学
Transformation groups
変換群論
Real algebraic geometry
O-minimal
Weakly o-minimal
definably complete

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Published Papers

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

DOI
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

DOI
Definable G homotopy extensions

"Kawakami Tomohiro"

Bulletin of the Faculty of Education, Wakayama University. Natural science ( Wakayama University ) 64 9 - 11 2014.02

DOI
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

DOI
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

DOI
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

DOI
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

　View Summary

Surgery and Geometric Topology : Proceedings of the conference held at Josai University 17-20 September, 1996 / edited by Andrew Ranicki and Masayuki Yamasaki. 本文データは許諾を得てeditorのHPサイトhttp://surgery.matrix.jp/math/josai96/proceedings.html から複製再利用したものである。

DOI

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Books etc

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
G manifolds and G vector bundles in algebraic, semialgebraic, and definable categories.

Current Trends in Math 2001
A note on expovetially Nash G manifolds and vector bundles

Science Bulletin of Josai University 1997
Nash structures of CrGmanifolds and CrG vector bundles.

in "Real and Complex Singularities" published by Longman. 1995

Misc

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]
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]
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]
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]
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]
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]

DOI
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]
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]
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]
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]
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]
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
Simultaneously definable C^r compactification

川上智博（Part： Lead author )

2019.09
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]
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
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
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]
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]
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]
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
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

DOI
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
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

DOI
デファイナブリー固有作用の軌道型の有限性について (新しい変換群論の幾何)

川上智博

数理解析研究所講究録 ( 京都大学 ) 1968 1 - 6 2015.11
Equivariant definable Tietze extension theorem (Model theoretic aspects of the notion of independence and dimension)

Kawakami Tomohiro

RIMS Kokyuroku ( Kyoto University ) 1938 10 - 14 2015.04
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

DOI
Definable slices in o-minimal structures (The Topology and the Algebraic Structures of Transformation Groups)

Kawakami Tomohiro

RIMS Kokyuroku ( Kyoto University ) 1922 1 - 7 2014.10
Equivariant definable homotopy extensions (Model theoretic aspects of the notion of independence and dimension)

Kawakami Tomohiro

RIMS Kokyuroku ( Kyoto University ) 1888 1 - 8 2014.04
Definable slices

Tomohiro Kawakami

Bulletin of Faculty of Education Wakayama University, Natural Science 64 1 - 8 2014.02
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]
順序極小構造上のデファイナブルモース関数について (変換群の幾何の展開)

川上智博

数理解析研究所講究録 ( 京都大学 ) 1816 1 - 9 2012.10
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]

　View Summary

In this paper we study (strongly) locally o-minimal structures. We first give a characterization of the strong local o-minimality. We also investigate locally o-minimal expansions of (R, +, <).

DOI
実閉体の順序極小構造上の構造定理について (体のモデル理論とその応用)

川上智博

数理解析研究所講究録 ( 京都大学 ) 1794 6 - 13 2012.05
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
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
デファイナブル$C^rG$ 写像の横断的条件について (モデル理論における独立概念と次元の研究)

川上智博

数理解析研究所講究録 ( 京都大学 ) 1741 20 - 27 2011.05
実閉体上のデファイナブル$G$集合のデファイナブル強変位$G$レトラクトについて (変換群と手術理論)

川上智博

数理解析研究所講究録 ( 京都大学 ) 1732 1 - 9 2011.03
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

DOI
EQUIVARIANT DEFINABLE MORSE FUNCTIONS ON DEFINABLE $C^{\infty}G$ MANIFOLDS (New developments of independence notions in model theory)

KAWAKAMI TOMOHIRO, TANAKA HIROSHI

RIMS Kokyuroku ( Kyoto University ) 1718 58 - 63 2010.10
実閉体の順序極小拡張におけるデファイナブルファイバー束について (モデル理論とその代数への応用)

川上智博

数理解析研究所講究録 ( 京都大学 ) 1708 21 - 25 2010.08
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
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
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
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]
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
The Smith homology and a generalized Borsuk-Ulam Theorem (Transformation groups from a new viewpoint)

Nagasaki Ikumitsu, Kawakami Tomohiro, Hara Yasuhiro, Ushitaki Fumihiro

RIMS Kokyuroku ( Kyoto University ) 1670 34 - 39 2009.12
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
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
Relative properties of definable C∞ manifolds with finite abelian group actions in an o-minimal expansion of R_exp

Kawakami Tomohiro

Bulletin of the Faculty of Education, Wakayama University. Natural science ( Wakayama University ) 59 21 - 27 2009.02
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
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
コンパクト底空間をもったデファイナブルGファイバー束 (モデル理論の手法による無限構造の構成法)

川上智博

数理解析研究所講究録 ( 京都大学 ) 1602 1 - 5 2008.06
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
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

　View Summary

Let G and K be compact subgroups of orthogonal groups and 0 ≤ r &lt
∞. We prove that every topological fiber bundle over a definable Cr manifold whose structure group is K admits a unique strongly definable Cr fiber bundle structure up to definable Cr fiber bundle isomorphism. We prove that every G vector bundle over an affine definable Cr G manifold admits a unique strongly definable Cr G vector bundle structure up to definable Cr G vector bundle isomorphism. ©2008 The Korean Mathematical Society.

DOI
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
Definable G fibrations

川上智博

Bulletin of Faculty of Education Wakayama University, Natural Science. 58 1 - 8 2008
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
デファイナブルG ファイバー空間(さまざまな体における定義可能集合の構造の研究)

川上智博

数理解析研究所講究録 ( 京都大学 ) 1574 22 - 30 2007.11
強デファイナブル $C^rG$ ベクトル束(変換群の理論とその応用)

川上智博

数理解析研究所講究録 ( 京都大学 ) 1569 1 - 7 2007.09
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
デファイナブル相対被覆ホモトピー定理と被覆写像柱予想(モデル理論における独立概念と次元)

川上智博

数理解析研究所講究録 ( 京都大学 ) 1555 27 - 29 2007.05
弱順序極小実閉体上の$C^r$セル分解(特異点論とオーミニマルカテゴリー)

田中広志, 川上智博

数理解析研究所講究録 ( 京都大学 ) 1540 107 - 110 2007.04
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
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
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
非付値的弱順序極小な実閉体上の関数の微分可能性について(体のモデル理論とその応用)

田中広志, 川上智博

数理解析研究所講究録 ( 京都大学 ) 1515 25 - 33 2006.09
固有デファイナブル作用について(体のモデル理論とその応用)

川上智博

数理解析研究所講究録 ( 京都大学 ) 1515 34 - 39 2006.09
部分的デファイナブル$G$自明性について(自然数の超準モデルにおける1階定義可能性の研究)

川上智博

数理解析研究所講究録 ( 京都大学 ) 1469 79 - 85 2006.02
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
デファイナブル$C^r$多様体のアフィン性について (ザリスキー幾何と数論幾何)

川上智博

数理解析研究所講究録 ( 京都大学 ) 1450 91 - 94 2005.09
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
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
DEFINABLE $C^rG$ TRIVIALITY OF $G$ INVARIANT PROPER DEFINABLE $C^r$ MAPS (Transformation Group Theory and Surgery)

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
DEFINABLE $G$-FIBER BUNDLES AND DEFINABLE $C^rG$-FIBER BUNDLES (Topological Transformation Groups and Related Topics)

Kawakami Tomohiro

RIMS Kokyuroku ( Kyoto University ) 1343 31 - 45 2003.10
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
DEFINABLE FIBER BUNDLES AND AFFINENESS OF DEFINABLE $C^r$ MANIFOLDS (Transformation groups from new points of view)

Kawakami Tomohiro

RIMS Kokyuroku ( Kyoto University ) 1290 121 - 126 2002.10
Equivariant semialgebraic vector bundles

Myung-Jun Choi, Tomohiro Kawakami, Dae Heui Park

Topology and its Applications 123 ( 2 ) 383 - 400 2002.09

　View Summary

Let G be a compact semialgebraic group. We prove that any semialgebraic G-vector bundle over a semialgebraic G-set has a semialgebraic classifying G-map. Moreover we prove that the set of semialgebraic G-isomorphism classes of semialgebraic G-vector bundles over a semialgebraic G-set corresponds bijectively to the set of topological G-isomorphism classes of topological G-vector bundles over it. As an application of them, we prove that for any two semialgebraic G-maps f,h between semialgebraic G-sets M and N, if they are G-homotopic and ξ is a semialgebraic G-vector bundle over N, then f*(ξ) and h*(ξ) are semialgebraically G-isomorphic. © 2001 Elsevier Science B.V. All rights reserved.

DOI
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

　View Summary

We establish basic properties of differential topology for definable CrG manifolds in an o-minimal expansion M of ℝ(ℝ,+,·,&lt
), where 0≤r≤ω and G is a definable Cr group. © 2002 Elsevier Science B.V. All rights reserved.

DOI
Equivariant semialgebraic vector bundles

MJ Choi, T Kawakami, DH Park

TOPOLOGY AND ITS APPLICATIONS ( ELSEVIER SCIENCE BV ) 123 ( 2 ) 383 - 400 2002.09

　View Summary

Let G be a compact semialgebraic group. We prove that any semialgebraic G-vector bundle over a semialgebraic G-set has a semialgebraic classifying G-map. Moreover we prove that the set of semialgebraic G-isomorphism classes of semialgebraic G-vector bundles over a semialgebraic G-set corresponds bijectively to the set of topological G-isomorphism classes of topological G-vector bundles over it. As an application of them, we prove that for any two semialgebraic G-maps f, h between semialgebraic G-sets M and N, if they are G-homotopic and xi is a semialgebraic G-vector bundle over N, then f *(xi) and h*(xi) are sernialgebraically G-isomorphic. (C) 2001 Elsevier Science B.V. All rights reserved.

DOI
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

　View Summary

We establish basic properties of differential topology for definable C(r)G manifolds in an o-minimal expansion M of R = (R, +, ., <), where 0 less than or equal to, r less than or equal to, omega and G is a definable C-r group. (C) 2002 Elsevier Science B.V. All rights reserved.

DOI
Relative algebraic realizations of a closed C∞G Manifold and its closed C∞G sabmanifolb

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∞G多様体とその閉C∞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
Algebraic and Nash realizations of vector bundles, and triviality of equivariant algebraic and Nash vector bundles

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∞G manifold and its C∞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∞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∞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
CrG多様体とCrG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
CrG 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

▼display all

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 Cr maps and compactification of definable CrG 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Cr definable写像の局所自明性とdefinable CrG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∞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∞G manifold and its C∞G sabmanifolds.

1996
Exponentially Nash G manifold structures of C∞Gmanifolds

1996
C∞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∞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∞ vector bundles

1995
C∞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∞Gmanifolds, vector bundles, and Lie groups.

1994
Nash structures of C∞Gmanifolds and C∞G vector bundles.

1994
Nash Gmanifold structures of C∞Gmanifolds.

1994
C∞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∞多様体のNashG多様体構造について

1994
C∞G多様体とC∞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

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Awards & Honors

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

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KAKENHI

Borsuk-Ulam型不変量と同変写像の存在問題

2023.04

-

2027.03

Grant-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

-

2014.03

Grant-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

-

2023.03

Research subsidy Principal investigator

Instructor for open lecture, peer review for academic journal, media appearances, etc.

出張授業者

2024.02.29

和歌山市

　View Details

学生支援プログラム

第3回和歌山市学生支援プロジェクト
指導助言者

2023.11.10

和歌山県高等学校数学教育研究会

　View Details

高校数学部会、高校の活性化

第70回近畿算数・数学教育研究滋賀大会の高等学校部会の研究発表の指導助言をしていただく。
レフェリー

2023.11

-

2024.01

非公開

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学術雑誌等の編集委員・査読・審査員等

レフェリー,任期:非公開
レフェリー

2023.05

-

2023.08

非公開

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学術雑誌等の編集委員・査読・審査員等

レフェリー,任期:非公開
レフェリー

2022.12

-

2023.01

非公開

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学術雑誌等の編集委員・査読・審査員等

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2022.11.18

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第６９回近畿算数・数学教育研究京都大会の分科会（教育内容1）の助言・指導をしていただきたい。
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2022.08

-

2022.09

非公開

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学術雑誌等の編集委員・査読・審査員等

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Reviewer

2022.05

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2022.06

非公開

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学術雑誌等の編集委員・査読・審査員等

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2022.05

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2022.06

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学術雑誌等の編集委員・査読・審査員等

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2022.03

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2022.04

非公開

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学術雑誌等の編集委員・査読・審査員等

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Reviewer

2022.03

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2022.04

非公開

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学術雑誌等の編集委員・査読・審査員等

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レフェリー

2022.02

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2022.03

非公開

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学術雑誌等の編集委員・査読・審査員等

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Reviewer

2022.01

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2022.02

非公開

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学術雑誌等の編集委員・査読・審査員等

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レフェリー

2022.01

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2022.02

非公開

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学術雑誌等の編集委員・査読・審査員等

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2021.11.19

和歌山県高等学校数学教育研究会

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2021.11.19

和歌山県高等学校数学教育研究会

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奈良県の高校教育

第68回近畿算数・数学教育研究奈良大会　指導助言
レフェリー

2021.09

-

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非公開

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2021.07

-

Now

非公開

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学術雑誌等の編集委員・査読・審査員等

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2021.05

-

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非公開

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レフェリー

2021.04

-

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非公開

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学術雑誌等の編集委員・査読・審査員等

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Reviewer

2021.04

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2021.05

非公開

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学術雑誌等の編集委員・査読・審査員等

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Reviewer

2021.01

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2021.02

非公開

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学術雑誌等の編集委員・査読・審査員等

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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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学術雑誌等の編集委員・査読・審査員等

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レフェリー

2020.04

-

Now

非公開

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レフェリー,任期:非公開
レビューワー

2016.04

-

Now

アメリカ数学会

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学術雑誌等の編集委員・査読・審査員等

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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)
2019 平面と空間の再認識（教員免許状更新講習）
2018 平面と空間の再認識（教員免許状更新講習）
2017 平面と空間の再認識（教員免許状更新講習）
2016 平面と空間の再認識（教員免許状更新講習）
2015 平面と空間の再認識（教員免許状更新講習）
2014 平面と空間の再認識（教員免許状更新講習）
2013 平面と空間の再認識（教員免許状更新講習）
2012 平面と空間の再認識（教員免許状更新講習）
2011 平面と空間の再認識（教員免許状更新講習）
2010 平面と空間の再認識（教員免許状更新講習）
2009 平面と空間の再認識（教員免許状更新講習）

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Committee member history in academic associations, government agencies, municipalities, etc.

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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2021.09

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講演集の編集者,任期:2021.5-2021.9
主催者

2021.05.24

-

2021.05.26

New developments of transformation groups

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国や地方自治体、他大学・研究機関等での委員

主催者,任期:2021.5-2021.5
指導助言者

2020.11

-

Now

第69回近畿算数・数学教育研究大阪大会

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2019.11

-

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第66回近畿算数・数学教育研究大阪大会における分科会

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指導助言者,任期:2019年11月～

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2023.04

-

2024.03

その他

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社会との連携を推進する活動

阪南市自治会役員
2021年度教員採用試験対策講座講師

2022.03

その他

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教員採用試験対策講座

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2021年度日本教育大学協会近畿地区数学部会

2021.11.24

その他

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2021年度日本教育大学協会近畿地区数学部会の和歌山大学の代表参加者
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2021.07

その他

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社会との連携を推進する活動

2019年度の教員免許状更新講習
2021年度教員免許更新講習

2021.07

その他

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2021年度日本教育大学協会近畿地区数学部会の和歌山大学の代表参加者
内地研究員の受け入れ

2009.04

-

2010.03

その他

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