Deconstructing Hopf spaces

Natàlia Castellana; Juan A. Crespo; Jérôme Scherer

doi:10.1007/s00222-006-0518-8

Deconstructing Hopf spaces

Natàlia Castellana, Juan A. Crespo, Jérôme Scherer

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

16 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 language	English
Pages (from-to)	1-18
Journal	Inventiones Mathematicae
Volume	167
Issue number	1
DOIs	https://doi.org/10.1007/s00222-006-0518-8
Publication status	Published - 1 Jan 2007

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AB - 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.

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Deconstructing Hopf spaces

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