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Homotopical localizations at a space

Adam J. Przezdziecki

math.ATarXiv:math/0205192

Abstract

Our main motivation for the work presented in this paper is to construct a localization functor, in a certain sense dual to the f-localization of Bousfield and Farjoun, and to study some of its properties. We succeed in a case which is related to the Sullivan profinite completion. As a corollary we prove the existence of certain cohomological localizations.

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