Article ID Journal Published Year Pages File Type
4667654 Advances in Mathematics 2007 13 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)