E. Reznichenko

activity

20162026

most citedDiscrete Subsets in Topological Groups and Countable Extremally Disconnected Groups

4 citations · 4 across the 2 of their papers we have counts for

collaborators

3 papers

math.GN2026

Homogeneous linearly ordered spaces

Anton Lipin, Evgenii Reznichenko

Every compact subset of a homogeneous generalized ordered (GO) space has character at most $ω_{1}$ and cardinality at most $2^{ω_{1}}$ ; if such a subset has uncountable character, then…

math.GN2025

$R^{ω_{1}}$ -Factorizable Spaces and Groups

Anton Lipin, Evgenii Reznichenko, Ol'ga Sipacheva

A topological space $X$ is $R^{ω_{1}}$ -factorizable if any continuous function $f : X \to R^{ω_{1}}$ factors through a continuous function from $X$ to a second-count…

math.GN2016★ 4 cited

Discrete Subsets in Topological Groups and Countable Extremally Disconnected Groups

Evgenii Reznichenko, Ol'ga Sipacheva

It is proved that any countable topological group in which the filter of neighborhoods of the identity element is not rapid contains a discrete set with precisely one nonisolated p…

Homogeneous linearly ordered spaces

Rω1​-Factorizable Spaces and Groups

Discrete Subsets in Topological Groups and Countable Extremally Disconnected Groups

$R^{ω_{1}}$ -Factorizable Spaces and Groups