Equivariant homotopy epimorphisms, homotopy monomorphisms and homotopy equivalences
type: Item
instance of: scholarly article
title: Equivariant homotopy epimorphisms, homotopy monomorphisms and homotopy equivalences
zbMATH Open document ID: 0868.55003
author: Goutam Mukherjee
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 1997-08-18T00:00:00Z
full work available at URL: https://eudml.org/doc/222538
review text: Let \(G\) be a finite group. Using Bredon-Illman cohomology with equivariant local coefficients systems conditions are given on a morphism in the \(G\)-homotopy category of pointed \(G\)-complexes to be an equivalence. In the case of the trivial group a variant of a result of \textit{E. Dyer} and \textit{J. Roitberg} [Topology Appl. 46, 119-124 (1992; Zbl 0760.55005)] is recovered.
Mathematics Subject Classification ID: 55N91
Mathematics Subject Classification ID: 55N25
zbMATH DE Number: 809196
zbMATH Keywords: homotopy epimorphism
zbMATH Keywords: homotopy monomorphism
zbMATH Keywords: homotopy equivalence
zbMATH Keywords: \(G\)-homotopy category
zbMATH Keywords: Bredon-Illman cohomology
zbMATH Keywords: local coefficients systems
reviewed by: Klaus Heiner Kamps
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 809196