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Deconstructing Hopf spaces

Natalia Castellana·Juan A. Crespo·Jerome Scherer
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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.

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Natalia Castellana, Juan A. Crespo, Jerome Scherer. 2006-04-07. Deconstructing Hopf spaces. https://arxiv.org/abs/math/0404031

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