ON THE GROUP OF SELF-HOMOTOPY EQUIVALENCES OF AN ALMOST FORMAL SPACE

被引：5
|
作者：
Benkhalifa, Mahmoud [1 ]
机构：
[1] Univ Sharjah, Coll Sci, Dept Math, Sharjah, U Arab Emirates
来源：
QUAESTIONES MATHEMATICAE | 2023年 / 46卷 / 05期
关键词：
Pure rationally elliptic spaces; group of homotopy self-equivalences; Sullivan model; Quillen model;
D O I：
10.2989/16073606.2022.2044405
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A simply connected CW-complex X of finite type is called almost formal if H-odd (X, Q) = 0 and if the rational Hurewicz homomorphism h(2n) is injective for every n >= 1. In this paper, we show that the group of self-homotopy equivalences of an almost formal space inducing the identity on the homology is finite.
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页码：855 / 862
页数：8
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