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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…
Cellularization of classifying spaces and fusion properties of finite groups
R. J. Flores, J. Scherer
One way to understand the mod p homotopy theory of classifying spaces of finite groups is to compute their BZ/p-cellularization. In the easiest cases this is a classifying space of…
Homotopy pull-back squares up to localization
W. Chacholski, W. Pitsch, J. Scherer
We characterize the class of homotopy pull-back squares by means of elementary closure properties. The so called Puppe theorem which identifies the homotopy fiber of certain maps c…