Lev Bukovsk'y

collaborators

3 papers

math.GN2022

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 $X$ and the space $(U S C^{*} (X), τ_{B})$ of bounded upper semicontinuous functions on $X$ w…

math.GN2019

Selection Principles for Measurable Functions and Covering Properties

Lev Bukovský

Let $A \subset P (X)$ , $\emptyset, X \in A$ , $A$ being closed under finite intersections. If $ψ = o, ω, γ$ , then $Ψ (A)$ is the fam…

math.GN2019

Selectors for dense subsets of function spaces

Lev Bukovský, Alexander V. Osipov

Let $U S C_{p}^{*} (X)$ be the topological space of real upper semicontinuous bounded functions defined on $X$ with the subspace topology of the product topology on $^{X} R$ . $\ti…