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.
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页码：1182 / 1201
页数：20
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