Resumen de On the cohomology of highly connected covers of finite Hopf spaces

Natalia Castellana i Vila , Juan A. Crespo Fernández , Jérôme Scherer

• 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.