Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4667654 | Advances in Mathematics | 2007 | 13 Pages |
Abstract
Relying on the computation of the André–Quillen homology groups for unstable Hopf algebras, we prove that if the mod p cohomology of both the fiber and the base in an H-fibration is finitely generated as algebra over the Steenrod algebra, then so is the mod p cohomology of the total space. In particular, the mod p cohomology of the n-connected cover of a finite H-space is always finitely generated as algebra over the Steenrod algebra.
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