A USEFUL LEMMA ON EQUIVARIANT MAPS

被引：0
|
作者：
Goncalves, D. [1 ]
Skopenkov, A. [2 ,3 ]
机构：
[1] Univ Sao Paulo, Dept Matemat, IME, BR-05314970 Sao Paulo, SP, Brazil
[2] Moscow Inst Phys & Technol, Fac Innovat & High Technol, Dolgoprudnyi 141700, Russia
[3] Independent Univ Moscow, Moscow 119002, Russia
来源：
HOMOLOGY HOMOTOPY AND APPLICATIONS | 2014年 / 16卷 / 02期
基金：
俄罗斯基础研究基金会; 巴西圣保罗研究基金会;
关键词：
equivariant maps; twisted coefficients; MANIFOLDS;
D O I：
10.4310/HHA.2014.v16.n2.a17
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We present a short proof of the following known result. Suppose X, Y are finite connected CW-complexes with free involutions, f: X -> Y is an eguivariant map, and l is a non-negative integer. If f* : H-i(Y) -> H-i(X) is an isomorphism for each i > l and is onto for i =l, then f(#): pi(i)(eq)(Y) -> pi(i)(eq)(X) is a 1-1 correspondence for i > l and is onto for i =l.
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页码：307 / 309
页数：3
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