{ "id": "math/0205192", "version": "v1", "published": "2002-05-17T13:49:27.000Z", "updated": "2002-05-17T13:49:27.000Z", "title": "Homotopical localizations at a space", "authors": [ "Adam J. Przezdziecki" ], "comment": "To appear in Algebraic Topology and its Applications", "categories": [ "math.AT" ], "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.", "revisions": [ { "version": "v1", "updated": "2002-05-17T13:49:27.000Z" } ], "analyses": { "subjects": [ "55P60", "55P65" ], "keywords": [ "homotopical localizations", "sullivan profinite completion", "main motivation", "localization functor", "sense dual" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2002math......5192P" } } }