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On the homotopy groups of p-completed classifying spaces

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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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Authors and Affiliations

  1. Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193, Bellaterra, Spain

    Natàlia Castellana

  2. Departament de Economia i de Història Econòmica, Universitat Autònoma de Barcelona, 08193, Bellaterra, Spain

    Juan A. Crespo & Jérôme Scherer

Authors
  1. Natàlia Castellana
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  2. Juan A. Crespo
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  3. Jérôme Scherer
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Corresponding author

Correspondence to Natàlia Castellana.

Additional information

All three authors are partially supported by MEC grant MTM2004-06686. The third author is supported by the program Ramón y Cajal, MEC, Spain, and thanks the CIB (Centre Interfacultaire Bernoulli), EPFL, Lausanne for its hospitality.

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Castellana, N., Crespo, J. & Scherer, J. On the homotopy groups of p-completed classifying spaces. manuscripta math. 118, 399–409 (2005). https://doi.org/10.1007/s00229-005-0587-9

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  • DOI: https://doi.org/10.1007/s00229-005-0587-9

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