NILPOTENCY OF SELF HOMOTOPY EQUIVALENCES WITH COEFFICIENTS

被引：2

作者：

Cuvilliez, Maxence ^{[1
]}

Murillo, Aniceto ^{[1
]}

Viruel, Antonio ^{[1
]}

机构：

[1] Univ Malaga, Dept Algebra Geometria & Topol, Malaga 29080, Spain

来源：

ANNALES DE L INSTITUT FOURIER | 2011年 / 61卷 / 01期

关键词：

Self homotopy equivalence; SPACES;

D O I：

10.5802/aif.2604

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study the nilpotency of certain groups of self homotopy equivalences. Our main goal is to extend, to localized homotopy groups and/or hornotopy groups with coefficients, the general principle of Dror and Zabrodsky by which a group of self homotopy equivalences of a finite complex which acts nilpotently Del the hotnotopy groups is itself nilpotent.

引用

页码：351 / 364

页数：14

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