Hereditary shape equivalences and complement theorems
type: Item
instance of: scholarly article
title: Hereditary shape equivalences and complement theorems
zbMATH Open document ID: 0598.54006
DOI: 10.1016/0166-8641(86)90003-9
author: Peter Mrozik
published in: Topology and its Applications
publication date: 1986-01-01T00:00:00Z
review text: The concept of an hereditary shape equivalence quite naturally induces various related notions of equivalence for compacta, e.g. the notion of simple homotopy equivalence for compact ANR's. We establish certan refinements of Chapman's complement theorem which characterize each of these notions in terms of complements of compacta in the Hilbert cube (or in any other compact AR).
Mathematics Subject Classification ID: 54C56
Mathematics Subject Classification ID: 55P55
Mathematics Subject Classification ID: 54E15
Mathematics Subject Classification ID: 57N60
Mathematics Subject Classification ID: 57Q10
zbMATH DE Number: 3964952
zbMATH Keywords: hereditary shape equivalence
zbMATH Keywords: uniform structure
zbMATH Keywords: simple homotopy equivalence for compact ANR
zbMATH Keywords: Chapman's complement theorem
zbMATH Keywords: complements of compacta in the Hilbert cube
MaRDI profile type: Publication
full work available at URL: 0166-8641(86)90003-9
OpenAlex ID: W2069695469
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description: scientific article; zbMATH DE number 3964952