3 papers
math.GN2026
On -Frechet-Urysohn topological groups
Saak Gabriyelyan, Alexander V. Osipov, Evgenii Reznichenko
We characterize -Fréchet--Urysohn topological groups. Using this characterization we show that: (1) a hemicompact topological group is -Fréchet--Urysohn iff it is locally…
math.FA2026
Baire-type properties of topological vector spaces
Saak Gabriyelyan, Alexander V. Osipov, Evgenii Reznichenko
Burzyk, KliÅ and Lipecki proved that every topological vector space (tvs) with the property is a Baire space. Kcakol and Sánchez Ruiz proved that every sequentially com…
math.GN2026
Completeness and reflexivity type properties of
Saak Gabriyelyan, Alexander V. Osipov, Evgenii Reznichenko
For a Tychonoff space , denotes the space of all Baire-one functions on endowed with the pointwise topology. We prove that the following assertions are equivalent:…