Please use this identifier to cite or link to this item: http://hdl.handle.net/2445/96481
 Title: Localizing with respect to self-maps of the circle Author: Casacuberta, CarlesPeschke, Georg Keywords: Teoria de l'homotopiaÀlgebra homològicaTeoria de grupsTopologia algebraicaHomotopy theoryHomological algebraGroup theoryAlgebraic topology Issue Date: Sep-1993 Publisher: American Mathematical Society (AMS) Abstract: We describe a general procedure to construct idempotent functors on the pointed homotopy category of connected ${\text{CW}}$-complexes, some of which extend $P$-localization of nilpotent spaces, at a set of primes $P$. We focus our attention on one such functor, whose local objects are ${\text{CW}}$-complexes $X$ for which the $p$th power map on the loop space $\Omega X$ is a self-homotopy equivalence if $p \notin P$. We study its algebraic properties, its behaviour on certain spaces, and its relation with other functors such as Bousfield's homology localization, Bousfield-Kan completion, and Quillen's plus-construction. Note: Reproducció del document publicat a: http://dx.doi.org/10.1090/S0002-9947-1993-1123451-X It is part of: Transactions of the American Mathematical Society, 1993, vol. 339, num. 1, p. 117-140 Related resource: http://dx.doi.org/10.1090/S0002-9947-1993-1123451-X URI: http://hdl.handle.net/2445/96481 ISSN: 0002-9947 Appears in Collections: Articles publicats en revistes (Matemàtiques i Informàtica)

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