Deconstructing Hopf spaces

Details Deconstructing Hopf spaces Deconstructing Hopf spaces

2004-04-02

arxiv.org/abs/math/0404031v3

Mathematics

Algebraic Topology

17 pages, Section 6 replaces an incorrect proof of former Proposition 6.2

Scientific paper

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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