Ol'ga Sipacheva

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20212026

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math.GN2026

Metrizable and Fréchet--Urysohn subgroups and linear subspaces of topological vector spaces

Arkady Leiderman, Evgenii Reznichenko, Ol'ga Sipacheva

For a normed space $E$ , we denote by $E_{w}$ and $E_{w^{*}}^{'}$ the space $E$ and its dual $E^{'}$ endowed with the weak topology $w$ and the weak $^{*}$ topology $w^{*}$ , respectively. It is we…

math.GN2026

$ϰ$ -Fréchet--Urysohn and Baire subgroups of free topological groups

Arkady Leiderman, Evgenii Reznichenko, Ol'ga Sipacheva

A topological space is $ϰ$ -Fréchet--Urysohn if every point in the closure of an open set $U$ is the limit of a sequence of points of $U$ . We prove that every $ϰ$ -Fr…

math.GN2025

Weird $R$ -Factorizable Groups

Evgenii Reznichenko, Ol'ga Sipacheva

The problem of the existence of non-pseudo- $ℵ_{1}$ -compact $R$ -factorizable groups is studied. It is proved that any such group is submetrizable and has weight larger th…

Metrizable and Fréchet--Urysohn subgroups and linear subspaces of topological vector spaces

ϰ-Fréchet--Urysohn and Baire subgroups of free topological groups

Weird R-Factorizable Groups

$ϰ$ -Fréchet--Urysohn and Baire subgroups of free topological groups

Weird $R$ -Factorizable Groups