arXiv:math/0205192 Abstract

arXiv:math/0205192 [math.AT]Abstract References Reviews Resources

Homotopical localizations at a space

Published 2002-05-17Version 1

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.

Comments: To appear in Algebraic Topology and its Applications

Categories: math.AT

Subjects: 55P60, 55P65

Keywords: homotopical localizations, sullivan profinite completion, main motivation, localization functor, sense dual

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