5 citations · 11 across the 13 of their papers we have counts for
35 papers · 1 filter
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…
Every metric space of weight admits a condensation onto a Banach space
Alexander V. Osipov, Evgenii G. Pytkeev
In this paper, we have proved that for each cardinal number such that a metric space of weight admits a bijective continuous mapping onto a Banach space of…
Some observations on the mildly Menger property and topological games
Manoj Bhardwaj, Alexander V. Osipov
In this paper, we defined two new games - the mildly Menger game and the compact-clopen game. In a zero-dimensional space, the Menger game is equivalent to the mildly Menger game a…
Topological properties of some function spaces
Saak Gabriyelyan, Alexander V. Osipov
Let be a metrizable space containing at least two points, and let be a -Tychonoff space for some ideal of compact sets of . Denote by $C_{…