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Noetherian loop spaces
Natalia Castellana, Juan A. Crespo, Jerome Scherer
The class of loop spaces whose mod p cohomology is Noetherian is much larger than the class of p-compact groups (for which the mod p cohomology is required to be finite). It contai…
On the cohomology of highly connected covers of finite complexes
Natalia Castellana, Juan A. Crespo, Jerome Scherer
Relying on the computation of the Andre-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 alway…
Relating Postnikov pieces with the Krull filtration: A spin-off of Serre's theorem
Natalia Castellana, Juan A. Crespo, Jerome Scherer
We characterize H-spaces which are p-torsion Postnikov pieces of finite type by a cohomological property together with a necessary acyclicity condition. When the mod p cohomology o…
On the homotopy groups of p-completed classifying spaces
Natalia Castellana, Juan A. Crespo, Jerome Scherer
Among the generalizations of Serre's theorem on the homotopy groups of a finite complex we isolate the one proposed by Dwyer and Wilkerson. Even though the spaces they consider mus…
Postnikov pieces and BZ/p-homotopy theory
Natalia Castellana, Juan A. Crespo, Jerome Scherer
We present a constructive method to compute the cellularization with respect to K(Z/p, m) for any integer m > 0 of a large class of H-spaces, namely all those which have a finite n…
Deconstructing Hopf spaces
Natalia Castellana, Juan A. Crespo, Jerome Scherer
We characterize Hopf spaces with finitely generated cohomology as an algebra over the Steenrod algebra. We "deconstruct" the original space into an H-space Y with finite mod p coho…