On the (non)-coincidence of Milnor-Thurston homology theory with singular homology theory
type: Item
instance of: scholarly article
title: On the (non)-coincidence of Milnor-Thurston homology theory with singular homology theory
zbMATH Open document ID: 0933.55008
author: Andreas Zastrow
published in: Pacific Journal of Mathematics
publication date: 1999-09-26T00:00:00Z
review text: The author proposes an extension to arbitrary topological spaces of the Milnor-Thurston homology theory for differentiable manifolds. That new Milnor-Thurston homology coincides with the singular homology for all triangulable spaces (Theorem 5.0). The author gives a counterexample to the validity of the coincidence theorem for all topological spaces.
Mathematics Subject Classification ID: 55N35
Mathematics Subject Classification ID: 18G35
Mathematics Subject Classification ID: 55N10
zbMATH DE Number: 1344261
zbMATH Keywords: measures on topological spaces
zbMATH Keywords: Milnor-Thurston homology
zbMATH Keywords: coincidence theorem
reviewed by: I. D. Albu
MaRDI profile type: Publication
full work available at URL: pjm.1998.186.369
OpenAlex ID: W2098963495
DOI: 10.2140/PJM.1998.186.369
description: scientific article; zbMATH DE number 1344261