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. © 2007 Elsevier Inc. All rights reserved.
Original language | English |
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Pages (from-to) | 250-262 |
Journal | Advances in Mathematics |
Volume | 215 |
Issue number | 1 |
DOIs | |
Publication status | Published - 20 Oct 2007 |
Keywords
- André-Quillen homology
- Eilenberg-Moore spectral sequence
- Fibrations
- H-space
- Steenrod algebra