S. Antonyan

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math.GN2011

Characterizing maximal compact subgroups

Sergey A. Antonyan

We prove that for a compact subgroup $H$ of an almost connected locally compact Hausdorff group $G$ , the following properties are mutually equivalent: (1) $H$ is a maximal compact…

math.GN2011

Locally compact subgroup actions on topological groups

Sergey A. Antonyan

Let $X$ be a Hausdorff topological group and $G$ a locally compact subgroup of $X$ . We show that $X$ admits a locally finite $σ$ -discrete $G$ -functionally open cover each member of…

math.GN2011

Equivariant extension properties of coset spaces of locally compact groups and approximate slices

Sergey A. Antonyan

We prove that for a compact subgroup $H$ of a locally compact Hausdorff group $G$ , the following properties are mutually equivalent: (1) $G / H$ is a manifold, (2) $G / H$ is finite-di…