Deconstructing Hopf spaces

Natàlia Castellana, Juan A. Crespo, Jérôme Scherer

Research output: Contribution to journalArticleResearchpeer-review

14 Citations (Scopus)

Abstract

We characterize Hopf spaces with finitely generated cohomology as an algebra over the Steenrod algebra. We "deconstruct" the original space into an H-space Y with finite mod p cohomology and a finite number of p-torsion Eilenberg-Mac Lane spaces. We give a precise description of homotopy commutative H-spaces in this setting. © Springer-Verlag 2007.
Original languageEnglish
Pages (from-to)1-18
JournalInventiones Mathematicae
Volume167
Issue number1
DOIs
Publication statusPublished - 1 Jan 2007

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