Misc - KAWAKAMI Tomohiro

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