S. Antonyan

activity

20092026

collaborators

Showing math.GNShow all

9 papers · 1 filter

math.GN2026

Equivariant homotopy dense subsets in the realm of uniform G-ANR spaces

Sergey A. Antonyan, Luis A. Martínez-Sánchez

Let $G$ be a compact group. The existence of certain $G$ -homotopy dense subsets in a metrizable $G$ -space $X$ plays a fundamental role, as it is equivalent to $X$ being a $G$ -ANR.…

math.GN2023

Extension properties of orbit spaces for proper actions revisited

Sergey A. Antonyan

Let $G$ be a locally compact Hausdorff group. We study orbit spaces of equivariant absolute neighborhood extensors ( $G$ - $ANE$ 's) for the class of all proper $G$ -spaces that a…

math.GN2023

Extension properties of orbit spaces of proper actions revisited

Sergey Antonyan

Let $G$ be a locally compact Hausdorff group. We study orbit spaces of equivariant absolute neighborhood extensors ( $G$ - $ANE$ 's) in the class of all proper $G$ -spaces that ar…

math.GN2017

Coset spaces of metrizable groups

Sergey Antonyan, Natella Antonyan, Konstantin Kozlov

We characterize coset spaces of topological groups which are coset spaces of (separable) metrizable groups and complete metrizable (Polish) groups. Besides, it is shown that for a…

math.GN2017

Characterizing slices for proper actions of locally compact groups

Sergey A. Antonyan

In his seminal work \cite{pal:61}, R. Palais extended a substantial part of the theory of compact transformation groups to the case of proper actions of locally compact groups. Her…

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…