Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4657863 | Topology and its Applications | 2016 | 15 Pages |
Abstract
It is proved that for G a locally compact group of weight less than or equal to a given infinite cardinal number τ, there exists a metric proper G -space J∞(G,τ)J∞(G,τ) of weight τ which is a G-AR and every metrizable proper G-space X of weight ≤τ can equivariantly be embedded in J∞(G,τ)J∞(G,τ). As a by-product we prove that every compact subgroup of a locally compact group G is contained in a maximal compact subgroup of an open almost connected subgroup of G. This property is responsible for equivariant extension properties of the universal proper G -space J∞(G,τ)J∞(G,τ).
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Natella Antonyan, Sergey A. Antonyan,