The group of self homotopy equivalences of some localized aspherical complexes |
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| Authors: | A Garvín A Murillo J Remedios A Viruel |
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| Institution: | 1. Departamento de álgebra, Geometría y Topología, Universidad de Málaga, AP. 59, 29080 Málaga, Spain;2. Departamento de Matemática Fundamental, Universidad de La Laguna, 38271 La Laguna, Spain |
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| Abstract: | By studying the group of self homotopy equivalences of the localization (at a prime p and/or zero) of some aspherical complexes, we show that, contrary to the case when the considered space is a nilpotent, ?m #(Xp ) is in general different from ?m #(X)p. That is the case even when X = K (G, 1) is a finite complex and/or G satisfies extra finiteness or nilpotency conditions, for instance, when G is finite or virtually nilpotent. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) |
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| Keywords: | Self homotopy equivalence aspherical complex localization |
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