5 citations · 11 across the 22 of their papers we have counts for
5 papers · 1 filter
On Ramsey properties, function spaces, and topological games
Steven Clontz, Alexander V. Osipov
An open question of Gruenhage asks if all strategically selectively separable spaces are Markov selectively separable, a game-theoretic statement known to hold for countable spaces…
Selectors for dense subsets of function spaces
Lev Bukovský, Alexander V. Osipov
Let be the topological space of real upper semicontinuous bounded functions defined on with the subspace topology of the product topology on . $\ti…
Strongly sequentially separable function spaces, via selection principles
Alexander V. Osipov, Piotr Szewczak, Boaz Tsaban
A separable space is strongly sequentially separable if, for each countable dense set, every point in the space is a limit of a sequence from the dense set. We consider this and re…
Selection principles and games in bitopological function spaces
Daniil Lyakhovets, Alexander V. Osipov
For a Tychonoff space , we denote by the bitopological space of all real-valued continuous functions on where is the compact-open topology and …
On generalization of theorems of Pestryakov
Alexander V. Osipov
In 1987, A.V. Pestryakov proved a series of theorems for cardinal functions of the space of all real-valued functions of Baire class , and he conjectured that…