Lusternik-Schnirelmann cocategory
type: Item
instance of: scholarly article
title: Lusternik-Schnirelmann cocategory
zbMATH Open document ID: 0802.55003
published in: Illinois Journal of Mathematics
publication date: 1994-05-03T00:00:00Z
review text: A new definition of cocategory is introduced that dualizes Whitehead's definition of category. It is then proved that if \(\text{cocat} X \leq n\), all Whitehead products of length \(>n\) vanish. On the other hand, for a rational space \(X\), \(\text{cocat} X \leq \text{cocat}_ 0X\) where \(\text{cocat}_ 0X\) is the rational homotopy invariant introduced by Sbai in terms of Quillen minimal models to approximate \(\text{cocat} X\).
Mathematics Subject Classification ID: 55M30
Mathematics Subject Classification ID: 55P62
zbMATH DE Number: 561181
zbMATH Keywords: cocategory
zbMATH Keywords: Whitehead products
zbMATH Keywords: rational homotopy
zbMATH Keywords: Quillen minimal models
author: Mark Hovey
reviewed by: Yves Félix
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 561181