The $H$-structure of low-rank torsion free $H$-spaces

Stephen D Theriault

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

Starting with a p-local space X of l odd dimensional cells, l < p-1, Cooke, Harper, and Zabrodsky constructed an H-space Y with the property that (H) over tilde (*)(Y) is generated as an exterior Hopf algebra by H-*(X). Cohen and Neisendorfer, and later Selick and Wu, reproduced this result with different constructions. We use the Selick and Wu approach to show that Y is homotopy associative and homotopy commutative if X is a suspension and l < p-2.

Original languageEnglish
Pages (from-to)403-415
Number of pages12
JournalQuarterly Journal of Mathematics
Volume56
Issue number3
DOIs
Publication statusPublished - 2005

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