Mod 3 homotopy associative H-spaces which are products of spheres
type: Item
instance of: scholarly article
title: Mod 3 homotopy associative H-spaces which are products of spheres
zbMATH Open document ID: 0658.55004
author: Yutaka Hemmi
published in: Hiroshima Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: It is not known if a finite p-local A(p)-space always has the homotopy type of a topological group for odd p. This is established for the prime 3 for 3-regular finite H-space, where an A(3)-space is a homotopy associative H-space. The proof in this particular case is far from straightforward and uses unstable tertiary cohomology operations, ladder Toda brackets and results from earlier papers on the same topic. (An alternative K-theoretic proof was later produced by N. Iwase.)
Mathematics Subject Classification ID: 55P45
Mathematics Subject Classification ID: 55S20
Mathematics Subject Classification ID: 55Q35
zbMATH DE Number: 4076061
zbMATH Keywords: finite p-local A(p)-space
zbMATH Keywords: homotopy type of a topological group
zbMATH Keywords: 3- regular finite H-space
zbMATH Keywords: homotopy associative H-space
zbMATH Keywords: unstable tertiary cohomology operations
zbMATH Keywords: ladder Toda brackets
reviewed by: J. R. Hubbuck
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.32917/hmj/1206129723
OpenAlex ID: W1480644099
DOI: 10.32917/HMJ/1206129723
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description: scientific article; zbMATH DE number 4076061