GROUP ACTIONS ON ALGEBRAIC CELL COMPLEXES

被引：8

作者：

Kropholler, P. H. ^{[1
]}

Wall, C. T. C. ^{[2
]}

机构：

[1] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland

[2] Univ Liverpool, Dept Math Sci, Liverpool L69 7ZL, Merseyside, England

来源：

PUBLICACIONS MATEMATIQUES | 2011年 / 55卷 / 01期

关键词：

Cell complex; group action; equivariant homotopy; ORTHOGONAL REPRESENTATIONS; STRUCTURE THEOREMS; FINITE-GROUPS; COHOMOLOGY; INDUCTION; SPACES;

D O I：

10.5565/PUBLMAT_55111_01

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish an algebraic version of the classical result that a G-map f between G-complexes which restricts to a homotopy equivalence f(H) on H-fixed sets for all subgroups H of G is a G-homotopy equivalence. This is used to give an alternative proof of a theorem of Bouc. We also include a number of illustrations and applications.

引用

页码：3 / 18

页数：16

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