A product decomposition of \(\Omega^3_0\Sigma\mathbf RP^2\)
type: Item
instance of: scholarly article
title: A product decomposition of \(\Omega^3_0\Sigma\mathbf RP^2\)
zbMATH Open document ID: 0923.55009
DOI: 10.1016/S0040-9383(97)00057-8
author: Jie Wu
published in: Topology
publication date: 1999-11-01T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/9510210
review text: Let \(P^n(2)\) be the \(n\)-dimensional mod 2 Moore space. The author proves that there is a homotopy equivalence \[ \Omega^3_0P^3(2)\simeq \Omega^2S^3\langle 3\rangle\times \Omega^3_0(P^6(2)\vee \Sigma(\mathbb{R} P^4/\mathbb{R} P^1)) \] localized at 2. \((\Omega^3_0 X\) denotes the base-point path-connected component of the triple loop space of the space \(X\)).
reviewed by: Jean-Claude Thomas
Mathematics Subject Classification ID: 55P35
zbMATH DE Number: 1307786
zbMATH Keywords: Moore space
zbMATH Keywords: loop space
MaRDI profile type: Publication
arXiv ID: math/9510210
OpenAlex ID: W2092521652
Recommended article: Q3720871
Recommended article: \(C\)-decomposition and \(s\)-\(m\) representation of product of groups
Recommended article: Products of 𝜔* images
Recommended article: Q4007814
Recommended article: A product theorem for \(\Omega B \Gamma_ G\)
Recommended article: A Stable Decomposition of ω N Sn X
Recommended article: The decomposition of product space \(H^1_L \times BMO_L\)
Recommended article: Decomposition of certain products of conjugacy classes of \(S_ n\)
Recommended article: Q3362296
Recommended article: Product decomposition of loop spaces of configuration spaces
description: scientific article