LS-category of classifying spaces
type: Item
instance of: scholarly article
title: LS-category of classifying spaces
zbMATH Open document ID: 0828.55006
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 1996-01-07T00:00:00Z
full work available at URL: https://eudml.org/doc/233721
review text: If \(X\) is a simply connected space, denote by Baut \(X\) the base of the universal fibration of fibre \(X\). The author proves the the Lusternik- Schnirelmann category of Baut \(X\) is not finite when \(X\) is a wedge of spheres or when \(X\) is a finite CW-complex with finite dimensional rational homotopy. The proofs use Quillen's model of Baut \(X\).
Mathematics Subject Classification ID: 55P62
Mathematics Subject Classification ID: 55M30
Mathematics Subject Classification ID: 55R35
zbMATH DE Number: 757748
zbMATH Keywords: rational category
zbMATH Keywords: classifying space
zbMATH Keywords: LS-category
zbMATH Keywords: universal fibration
zbMATH Keywords: Lusternik-Schnirelmann category
zbMATH Keywords: rational homotopy
author: Jean Baptiste Gatsinzi
reviewed by: Daniel Tanré
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 757748