5 citations · 12 across the 25 of their papers we have counts for
8 papers · 2 filters
On Baire property, compactness and completeness properties of spaces of Baire functions
Alexander V. Osipov
A topological space is Baire if the intersection of any sequence of open dense subsets of is dense in . One of the interesting problems for the space of Baire functions…
On the first Banach problem, concerning condensations of absolute -Borel sets onto compacta
Alexander V. Osipov
It is consistent that the continuum be arbitrary large and no absolute -Borel set of density , , condenses onto a compact metric space. It is con…
Baireness of the space of pointwise stabilizing functions of the first Baire class
Alexander V. Osipov
A topological space is Baire if the Baire Category Theorem holds for , i.e., the intersection of any sequence of open dense subsets of is dense in . In this paper, we…
Spaces of Real Functions, Covers and Dense Subsets
Lev Bukovský, Alexander V. Osipov
In paper we study relationships between covering properties of a topological space and the space of bounded upper semicontinuous functions on w…
Baire property of spaces of -valued continuous functions
Alexander V. Osipov, Evgenii G. Pytkeev
A topological space is Baire if the intersection of any sequence of open dense subsets of is dense in . Let denote the space of all continuous -val…
Mildly version of Hurewicz Basis covering property and Hurewicz measure zero spaces
Manoj Bhardwaj, Alexander V. Osipov
In this paper, we introduced the mildly version of the Hurewicz basis covering property, studied by Babinkostova, Kočinac, and Scheepers. A space is said to have mildly-Hurewic…