Localization with respect to a class of maps II - Equivariant cellularization and its application

2003/12/09 by Boris Chorny, Chorny, Boris
Mathematics · #18G55 #55P91 #55U35 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:18G55 #msc:55P91 #msc:55U35

paper · pdf · doi:10.48550/arxiv.math/0312197

arxiv created 2003/12/09 · arxiv updated 2009/12/01

Abstract

We present an example of a homotopical localization functor which is not a localization with respect to any set of maps. Our example arises from equivariant homotopy theory. The technique of equivariant cellularization is developed and applied to the proof of the main result.

Related

• Localization with respect to a class of maps I - Equivariant localization of diagrams of spaces
• Homotopical localizations at a space
• A characterization of simplicial localization functors
• Good objects in the equivariant world
• Localization genus