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ISSN 1880-2818

数理解析研究所講究録 1575

RIMS 共同研究

Borsuk-Ulam 型定理の 変換群論的アプローチ

京都大学数理解析研究所

2008 年 1 月

(2)

RIMS K6kyOroku 1575

Approachjfrom 77eansformation Group 7Zheo7rv to BoMsuk-UZam type theorems

lanuary, 2008

Research hzstztute for 2Vdathematical Sczences

K)2oto Unzverszty, I¡yoto, ,lapan

This is a report of research done at Research Institute for Mathernatical Sc!ences, Kyoto University The papers contamed herem are m final form

and will not be submitted fbr publication elsewhere

(3)

Borsuk Ulam型定理の変換群論的アプローチ

Appro ach from Transformation Group Theory to B orsuk-Ulam type theorems RIMS共同研究報告集

2007820{}˜822

研究代表者 藤田 亮介(RyousUke FuJ ta)

目 次

1同変Morse理論のデファイナブルカテゴリーへの一般化 。 一・一一一一一・一一1

和歌山大・教育(Wakayama U)川上 智博(Tomohrro・Kawakami)

2 Chevalley Koszul複体とモデル圏

阪大 理学(Osa:ka U) 山崎 啓太(Kelta Yamasa:k1)

eeee 7

3部分群複体のホモトピー一同値性について 22

和歌山工業高専(Wakayama Nat Coll Tech)藤田 亮介(RyousUke FuJ lta)

4 THE COKERNEL OF THE JOHNSON HOMOMORPHISMS OF THE

AUTOMORPHISM GROUP OF A FREE METABELIAN GROUP e一一一ee en eeee ee 40 阪大 理学(Osaka U) 佐藤 隆夫(Takao Satoh)

5 BorsUk Ulam型定理と写像度について

阪大 理学(Osaka U) 原靖浩(Yasuhlro Hara)

65

6等変BORSUK-ULAM定理とその周辺 京都府立医大・医学

(Kyoto Prefectura1 U Medicme) 長崎 生光(11rumitSu Nagasaki) 73

7一般四元数群が自由に作用する3次元多様体から 表現球面への等変写像の分類

京産大・理(Kyoto Sangyo U) 牛馬 文宏(Fum血m Ushlta:k1) 88

参照

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This is a report of research done at the Research Institute for Mathematical Sciences, Kyoto University. The papers contained herein are in final form and will not be submitted

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