Equivariant Embedding of Metrizable G-spaces in Linear G-spaces
نویسنده
چکیده
Given a Lie group G we study the class MG of proper metrizable G-spaces with metrizable orbit spaces, and show that any G-space X ∈ MG 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 MG. As a corollary we see that any G-ANR for MG is a G-ANE for MG.
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تاریخ انتشار 2006