Comultiplication and suspension
type: Item
instance of: scholarly article
title: Comultiplication and suspension
zbMATH Open document ID: 0874.55010
DOI: 10.1016/S0166-8641(96)00103-4
author: John R. Klein
author: Roland Schwänzl
author: Rainer Vogt
published in: Topology and its Applications
publication date: 1997-11-02T00:00:00Z
review text: As is pointed out in the abstract, the authors claim the following two results in this paper: (1) A conjecture by Berstein, Hilton and Ganea: an \((n-1)\)-connected CW complex \(X\) with dim \(X \leq k(n-2)+3\) which has a co-\(A_{k-1}\)-space structure desuspends. (2) A dual result of Segal: given a cosimplicial space \(Y_*\) which is special in the sense that the canonical map \(\bigvee^n_{k=1}Y_1 \rightarrow Y_n\) are homotopy equivalences and \(Y_1\) is \(2\)-connected then there is a functorial desuspension of \(Y_1\).
reviewed by: Kai Xu
Mathematics Subject Classification ID: 55P45
Mathematics Subject Classification ID: 55P40
zbMATH DE Number: 1022196
zbMATH Keywords: co-\(A_ k\)-space
zbMATH Keywords: desuspension
zbMATH Keywords: cosimplicial space
zbMATH Keywords: homotopy limit
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1022196