Year: 2009
Author: Youhua Qian, Shengmin Chen
Communications in Mathematical Research , Vol. 25 (2009), Iss. 2 : pp. 97–103
Abstract
Let Aut$_∗(X)$ denote the group of homotopy classes of self-homotopy equivalences of $X$, which induce identity automorphisms of homology group. We describe a decomposition of Aut$_∗(X_1∨· · ·∨X_n)$ as a product of its simpler subgroups. We consider the subgroup Aut$_Σ(X)$ of all self homotopy classes α of $X$ such that $Σα = 1_{ΣX} : ΣX → ΣX$, and also give some properties of Aut$_Σ(X)$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-CMR-19291
Communications in Mathematical Research , Vol. 25 (2009), Iss. 2 : pp. 97–103
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 7
Keywords: self-homotopy equivalences the wedge space reducible.