Decomposability of the \(H\)-spaces with bounded indecomposable homology
type: Item
instance of: scholarly article
zbMATH Open document ID: 0978.55008
DOI: 10.1016/S0764-4442(01)01947-4
author: Anisse Ouadghiri
publication date: 2002-02-01T00:00:00Z
Mathematics Subject Classification ID: 55P45
zbMATH DE Number: 1623444
zbMATH Keywords: \(H\)-space
zbMATH Keywords: indecomposable homology
zbMATH Keywords: \(p\)-decomposition
MaRDI profile type: Publication
title: Decomposability of the \(H\)-spaces with bounded indecomposable homology
published in: Comptes Rendus de l'Académie des Sciences. Série I. Mathématique
review text: \textit{D. J. Anick}'s conjecture [Trans. Am. Math. Soc. 334, No. 2, 929-940 (1992; Zbl 0767.55008)] says: If \(X\) is a finite 1-connected CW-space then the loop space \(\Omega X\) is \(p\)-decomposable for all but a finite number of primes \(p\). NEWLINENEWLINENEWLINEThe author shows that any connected \(H\)-space of finite type with bounded indecomposable homology is \(p\)-decomposable for all sufficiently large primes \(p\).
reviewed by: Marek Golasiński
description: scientific article; zbMATH DE number 1623444