S. Antonyan

activity

20092026

collaborators

11 papers

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.GT2026

Characterizations of $G$ -ANR spaces and inverse limits

Sergey A. Antonyan, Aura Lucina Kantún-Montiel, Jesús Eduardo Mata-Cano +1

In this paper we prove that, for a compact group $G$ , a metrizable $G$ -space is a $G$ -ANR under the following asumptions: (1) if it dominates a $G$ -ANR space through a fine $G$ -hom…

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…