The p-equivalence of \(SO(2n+1)\) and Sp(n)
type: Item
instance of: scholarly article
title: The p-equivalence of \(SO(2n+1)\) and Sp(n)
zbMATH Open document ID: 0547.55003
author: Albert T. Lundell
published in: Pacific Journal of Mathematics
publication date: 1984-01-01T00:00:00Z
review text: It is shown how one can obtain a map to establish that when \(SO(2n+1)\) and Sp(n) are localized at the set of odd primes, then they are homotopy equivalent, in fact H-equivalent. It is not known if this map is a loop map. The author assumes the work of Harris establishing the corresponding result for homotopy groups but not Friedlander's results on localized classifying spaces. The ingredients are explicit homotopy theory and work of the author in the 1960's.
Mathematics Subject Classification ID: 55P10
Mathematics Subject Classification ID: 57T20
Mathematics Subject Classification ID: 57T99
Mathematics Subject Classification ID: 22E15
zbMATH DE Number: 3872259
zbMATH Keywords: p-equivalence
zbMATH Keywords: homotopy equivalences of localized spaces
zbMATH Keywords: H-maps
reviewed by: J. R. Hubbuck
MaRDI profile type: Publication
full work available at URL: pjm.1984.110.161
OpenAlex ID: W1505426315
DOI: 10.2140/PJM.1984.110.161
description: scientific article; zbMATH DE number 3872259