On the homotopy groups of p-completed classifying spaces

Natalia Castellana; Juan A. Crespo; Jerome Scherer

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On the homotopy groups of p-completed classifying spaces

Natalia Castellana·Juan A. Crespo·Jerome Scherer

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Abstract

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 must be 2-connected, we show that it can be used to both recover known results and obtain new theorems about p-completed classifying spaces.

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Natalia Castellana, Juan A. Crespo, Jerome Scherer. 2005-07-07. On the homotopy groups of p-completed classifying spaces. https://arxiv.org/abs/math/0507139

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