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.
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页码：3 / 18
页数：16
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