Functoriality of the standard resolution of the Cartesian product of a compactum and a polyhedron. II
type: Item
instance of: scholarly article
title: Functoriality of the standard resolution of the Cartesian product of a compactum and a polyhedron. II
zbMATH Open document ID: 1157.55008
author: Sibe Mardešić
published in: Topology and its Applications
publication date: 2008-09-23T00:00:00Z
review text: In the context of the shape and strong shape theory of compact Hausdorff spaces, one replaces such a space \(X\) by a resolution \(R(X)\) of \(X\), typically by finite polyhedra. Previously, the author [Topology Appl. 133, No.~1, 37--63 (2003; Zbl 1037.54010)] showed how to construct a resolution \(R(X,K)\) of \(X\times P\), where \(K\) is a simplicial complex with realisation \(P\). Subsequently he showed that \(R(X,K)\) was functorial in the first variable. Here it is proved to be functorial in the second variable as well. [For Part I, cf. \textit{S. Mardešić}, Topology Appl. 155, No.~1, 1--32 (2007; Zbl 1139.54011).]
reviewed by: Timothy Porter
Mathematics Subject Classification ID: 55P55
Mathematics Subject Classification ID: 54B35
Mathematics Subject Classification ID: 54B10
Mathematics Subject Classification ID: 54C56
zbMATH DE Number: 5346271
zbMATH Keywords: resolution of product
MaRDI profile type: Publication
full work available at URL: j.topol.2008.05.008
OpenAlex ID: W4255178371
cites work: Q4267966
cites work: A resolution for the product of a compactum with a polyhedron.
cites work: Functoriality of the standard resolution of the Cartesian product of a compactum and a polyhedron
cites work: Q3959112
cites work: Q3827224
DOI: 10.1016/J.TOPOL.2008.05.008
description: scientific article; zbMATH DE number 5346271