A factor of singular homology
type: Item
instance of: scholarly article
title: A factor of singular homology
zbMATH Open document ID: 0760.55003
author: Katsuya Eda
author: K. Sakai
published in: Tsukuba Journal of Mathematics
publication date: 1992-09-27T00:00:00Z
review text: Singular homology is a beautiful theory, in which we can see a clear correspondence between Algebra and Topology. However, it behaves badly on topological spaces which are not locally simply connected in comparison with Čech homology. In the present paper we introduce a canonical factor \(H^ T_ n(X)\) of singular homology \(H_ n(X)\), which agrees with singular homology on ANR's and behaves well on the indicated spaces. We also introduce a notion of ``quasi-homotopy'' for continuous maps. It turns out that the factor is invariant under quasi-homotopy.
Mathematics Subject Classification ID: 55N10
zbMATH DE Number: 61122
zbMATH Keywords: singular homology
zbMATH Keywords: homotopy
zbMATH Keywords: Čech homology
zbMATH Keywords: ANR
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496161663
OpenAlex ID: W1608748276
DOI: 10.21099/TKBJM/1496161663
description: scientific article; zbMATH DE number 61122