Evgenii Reznichenko

activity

20222026

most citedExtension of mappings from the product of pseudocompact spaces

7 citations · 7 across the 6 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.GN2025

New classes of compact-type spaces

Saak Gabriyelyan, Evgenii Reznichenko

Being motivated by the notions of $κ$ -Fréchet--Urysohn spaces and $k^{'}$ -spaces introduced by Arhangel'skii, the notion of sequential spaces and the study of Ascoli spaces, we introd…

math.GN2025

$κ$ -spaces

Saak Gabriyelyan, Evgenii Reznichenko

We say that a Tychonoff space $X$ is a $κ$ -space if it is homeomorphic to a closed subspace of $C_{p} (Y)$ for some locally compact space $Y$ . The class of $κ$ -spaces is strictly betw…

math.GN2025

Functions on products $X \times Y$ with applications to Ascoli spaces, $k_{R}$ -spaces and $s_{R}$ -spaces

Saak Gabriyelyan, Evgenii Reznichenko

We prove that a Tychonoff space $X$ is (sequentially) Ascoli iff for every compact space $K$ (resp., for a convergent sequence $s$ ), each separately continuous $k$ -continu…

New classes of compact-type spaces

κ-spaces

Functions on products X×Y with applications to Ascoli spaces, kR​-spaces and sR​-spaces

$κ$ -spaces

Functions on products $X \times Y$ with applications to Ascoli spaces, $k_{R}$ -spaces and $s_{R}$ -spaces