Casacuberta, CarlesPeschke, Georg2016-03-152016-03-151993-090002-9947https://hdl.handle.net/2445/96481We 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.24 p.application/pdfeng(c) American Mathematical Society (AMS), 1993Teoria de l'homotopiaÀlgebra homològicaTeoria de grupsTopologia algebraicaHomotopy theoryHomological algebraGroup theoryAlgebraic topologyinfo:eu-repo/semantics/article5837542016-03-15info:eu-repo/semantics/openAccess