The Group of Self Homotopy Equivalences of Some Localized Aspherical Complexes

نویسنده

  • A. GARVÍN
چکیده

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 complex, E # (Xp) is in general different from E # (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.

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تاریخ انتشار 2007