E. Reznichenko

activity

20242026

collaborators

3 papers

math.GN2026

Stone-Cech Compactifications of Spaces of Probability Measures

E. A. Reznichenko

It is proved that $P (I^^{2} X) = I^^{2} P (X)$ if and only if $P (X)$ is a pseudocompact space, where $P (X)$ is the space of Radon probability measures with the weak topology and $I^^{2} X$ is the St…

math.GN2025

On identities in connected topological groups

Evgenii Reznichenko, Il'ya Zyabrev

In 1957, Nemytskii proved the following fact: if in a locally compact or in an Abelian connected group there is a neighborhood of the identity in which some identity holds, then it…

math.GN2024

Classes of Baire spaces defined by semi-neighborhoods of the diagonal

Evgenii Reznichenko

With the help of semi-neighborhoods of the diagonal, classes of Baire spaces are defined: $I^$ , $I^_{h}$ and $I^_{s}$ Baire spaces. These classes of spaces are studied with the help of…