On the cohomology of highly connected covers of finite Hopf spaces |
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Authors: | Natà lia Castellana |
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Affiliation: | a Departament de Matemàtiques, Universitat Autònoma de Barcelona, E-08193 Bellaterra, Spain b Departamento de Economía, Universidad Carlos III de Madrid, E-28903 Getafe, Spain |
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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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Keywords: | H-space Steenrod algebra André -Quillen homology Eilenberg-Moore spectral sequence Fibrations |
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