On the Cohomology of Highly Connected Covers of Finite Complexes
نویسندگان
چکیده
Relying on the computation of the André-Quillen homology groups for unstable Hopf algebras, we prove that the mod p cohomology of the n-connected cover of a finite H-space is always finitely generated as algebra over the Steenrod algebra.
منابع مشابه
On the cohomology of highly connected covers of finite Hopf spaces
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 gene...
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