Title: A Note on the Nilpotency of Subgroups of Self-Homotopy Equivalences
Abstract:Let X be a space that has the homotopy type of a finite simply connected CW complex. We denote by E(X) the group of homotopy classes of self-homotopy equivalences of X. This group has been extensively...Let X be a space that has the homotopy type of a finite simply connected CW complex. We denote by E(X) the group of homotopy classes of self-homotopy equivalences of X. This group has been extensively studied (see [1] for a survey). In this paper we consider the subgroup En#(X) consisting of homotopy classes of self-homotopy equivalences of X that induce the identity on the homotopy groups πi(X) for i⩽n, and the subgroup E#(X) consisting of homotopy classes of self-homotopy equivalences of X that induce the identity on all the homotopy groups. Our first result is as follows. 1991 Mathematics Subject Classification 55P62, 55P10.Read More
Publication Year: 1997
Publication Date: 1997-07-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 8
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