2006/11/08 by Aasa Feragen, Feragen, Aasa
Mathematics · #57S20 #Algebraic Topology (math.AT) #FOS: Mathematics #General Topology (math.GN) #math.AT #math.GN #msc:57S20
paper · pdf · doi:10.48550/arxiv.math/0611239
10 pages
arxiv created 2006/11/08 · arxiv updated 2009/12/01
Given a Lie group G we study the class \M of proper metrizable G-spaces with metrizable orbit spaces, and show that any G-space X ∈ \M admits a closed G-embedding into a convex G-subset C of some locally convex linear G-space, such that X has some G-neighborhood in C which belongs to the class \M. As corollaries we see that any G-ANE for \M has the G-homotopy type of some G-CW complex and that any G-ANR for \M is a G-ANE for \M.