7 citations · 7 across the 6 of their papers we have counts for
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Lindelöf-type properties of spaces of Baire-one functions
Alexander V. Osipov, Evgenii Reznichenko
In this paper, we investigate Lindelöf-type properties of spaces of Baire-one functions equipped with the topology of pointwise convergence. In particular, we investigate the prope…
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 com…
Baire-type properties of topological vector spaces
Saak Gabriyelyan, Alexander V. Osipov, Evgenii Reznichenko
Burzyk, Kliś and Lipecki proved that every topological vector space (tvs) with the property is a Baire space. Kcakol and Sánchez Ruiz proved that every sequentially compl…
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:…