Corrections to ``On the mapping theorem for Lusternik-Schnirelmann category''
type: Item
instance of: scholarly article
title: Corrections to ``On the mapping theorem for Lusternik-Schnirelmann category''
zbMATH Open document ID: 0644.55003
DOI: 10.1016/0040-9383(88)90037-7
author: Yves Félix
author: Jean-Michel Lemaire
published in: Topology
publication date: 1988-01-01T00:00:00Z
review text: In ibid. 24, 41-43 (1985; Zbl 0572.55002) we defined the tame category of an (r-1)-connected space X, \(r\geq 3\), either as the category of its r- taming or as the least category of those spaces tame equivalent to X. Unfortunately these two definitions do not agree, as shown by the example of S 3, whose 3-taming is K(\({\mathbb{Z}},3)\). Actually the first definition is irrelevant, because we have observed that the r-taming of an r- connected space of finite type has infinite category or is contractible. We therefore suggest another definition of r-tame category.
Mathematics Subject Classification ID: 55M30
Mathematics Subject Classification ID: 55P62
zbMATH DE Number: 4050536
zbMATH Keywords: Lyusternik-Schnirelman category
zbMATH Keywords: tame category
MaRDI profile type: Publication
full work available at URL: 0040-9383(88)90037-7
OpenAlex ID: W2069246933
description: scientific article; zbMATH DE number 4050536