Homotopical localizations at a space

Details Homotopical localizations at a space Homotopical localizations at a space

2002-05-17

arxiv.org/abs/math/0205192v1

Mathematics

Algebraic Topology

To appear in Algebraic Topology and its Applications

Scientific paper

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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