A. Osipov

activity

20112023

most citedGroup structures of a function spaces with the set-open topology

5 citations · 15 across the 39 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.GN2020

Topological properties of some function spaces

Saak Gabriyelyan, Alexander V. Osipov

Let $Y$ be a metrizable space containing at least two points, and let $X$ be a $Y_{I}$ -Tychonoff space for some ideal $I$ of compact sets of $X$ . Denote by $C_{…

math.GN2020★ 1 cited

On homeomorphism groups and the set-open topology

Alexander V. Osipov

In this paper we focus on the set-open topologies on the group $H (X)$ of all self-homeomorphisms of a topological space $X$ which yield continuity of both the group opera…

math.GN2020

On regular $κ$ -bounded spaces admitting only constant continuous mappings into $T_{1}$ spaces of pseudo-character $\leq κ$

Serhii Bardyla, Alexander V. Osipov

In this paper for each cardinal $κ$ we construct an infinite $κ$ -bounded (and hence countably compact) regular space $R_{κ}$ such that for any $T_{1}$ space $Y$ of pseudo-character $\l…

Topological properties of some function spaces

On homeomorphism groups and the set-open topology

On regular κ-bounded spaces admitting only constant continuous mappings into T1​ spaces of pseudo-character ≤κ

On regular $κ$ -bounded spaces admitting only constant continuous mappings into $T_{1}$ spaces of pseudo-character $\leq κ$