A bound for the nilpotency of a group of self homotopy equivalences

被引：5
|
作者：
Felix, Y [1 ]
Murillo, A
机构：
[1] Catholic Univ Louvain, Dept Math, B-1348 Louvain, Belgium
[2] Univ Malaga, Dept Algebra Geometria & Topol, Malaga 29080, Spain
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 02期
关键词：
D O I：
10.1090/S0002-9939-98-04192-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let E-Omega(X) be the group of homotopy classes of self-homotopy equivalences of X such that Omega f similar or equal to 1d(Omega X). We prove that epsilon(Omega)(X) is a nilpotent group and that nil epsilon(Omega)(X) less than or equal to cat(X) - 1.
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页码：625 / 627
页数：3
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