L. Zdomskyy

activity

20052026

most citedMathias forcing and combinatorial covering properties of filters

32 citations · 260 across the 75 of their papers we have counts for

collaborators

Showing 2016 · math.GNShow all

3 papers · 2 filters

math.GN2016

The Ascoli property for function spaces

Saak Gabriyelyan, Jan Grebík, Jerzy Kakol +1

The paper deals with Ascoli spaces $C_{p} (X)$ and $C_{k} (X)$ over Tychonoff spaces $X$ . The class of Ascoli spaces $X$ , i.e. spaces $X$ for which any compact subset $K$ of $C_{k} (X)$ is…

math.GN2016

Topological properties of function spaces over ordinals

Saak Gabriyelyan, Jan Grebik, Jerzy Kakol +1

A topological space $X$ is said to be an Ascoli space if any compact subset $K$ of $C_{k} (X)$ is evenly continuous. This definition is motivated by the classical Ascoli theorem. We s…

math.GN2016

Every filter is homeomorphic to its square

Andrea Medini, Lyubomyr Zdomskyy

We show that every filter $F$ on $ω$ , viewed as a subspace of $2^{ω}$ , is homeomorphic to $F^{2}$ . This generalizes a theorem of van Engelen, who proved that this h…