On the cohomology of highly connected covers of finite Hopf spaces
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چکیده
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.
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تاریخ انتشار 2007