Every group is the group of self-homotopy equivalences of finite dimensional CW-complex

被引：0

作者：

Benkhalifa, M. ^{[1
]}

机构：

[1] Univ Sharjah, Coll Sci, Dept Math, Sharjah, U Arab Emirates

来源：

SBORNIK MATHEMATICS | 2024年 / 215卷 / 09期

关键词：

Kahn's realisability problem of groups; group of homotopy self-equivalences; Anick's R- lo cal homotopy theory;

D O I：

10.4213/sm10038e

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that any group G occurs as E(X), where X is a CWcomplex of finite dimension and E (X) denotes its group of self-homotopy equivalences. Thus, we generalize a well-known theorem due to Costoya and Viruel [9] asserting that any finite group occurs as E(X), where X is rational elliptic space. Bibliography: 12 titles.

引用

页码：1182 / 1201

页数：20

共 50 条

[21] REAL BRAUER GROUP OF A FINITE CW-COMPLEX
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