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http://hdl.handle.net/2445/96481
Title: | Localizing with respect to self-maps of the circle |
Author: | Casacuberta, Carles Peschke, Georg |
Keywords: | Teoria de l'homotopia Àlgebra homològica Teoria de grups Topologia algebraica Homotopy theory Homological algebra Group theory Algebraic 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 |
URI: | http://hdl.handle.net/2445/96481 |
Related resource: | http://dx.doi.org/10.1090/S0002-9947-1993-1123451-X |
ISSN: | 0002-9947 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
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583754.pdf | 2.24 MB | Adobe PDF | View/Open |
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