Deconstructing Hopf spaces
Algebraic Topology
2007-05-23 v3
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.
Cite
@article{arxiv.math/0404031,
title = {Deconstructing Hopf spaces},
author = {Natalia Castellana and Juan A. Crespo and Jerome Scherer},
journal= {arXiv preprint arXiv:math/0404031},
year = {2007}
}
Comments
17 pages, Section 6 replaces an incorrect proof of former Proposition 6.2