32 citations · 260 across the 75 of their papers we have counts for
5 papers · 2 filters
Closed locally path-connected subspaces of finite-dimensional groups are locally compact
Taras Banakh, Lyubomyr Zdomskyy
We prove that each closed locally continuum- connected subspace of a finite dimensional topological group is locally compact. This allows us to construct many 1-dimensional metriza…
Non-meager free sets and independent families
Andrea Medini, Dušan Repovš, Lyubomyr Zdomskyy
Our main result is that, given a collection of meager relations on a Polish space such that , there exists a dense Baire subspace of (…
Menger remainders of topological groups
Angelo Bella, Seçil Tokgöz, Lyubomyr Zdomskyy
In this paper we discuss what kind of constrains combinatorial covering properties of Menger, Scheepers, and Hurewicz impose on remainders of topological groups. For instance, we s…
Selective versions of chain condition-type properties
Leandro Aurichi, Santi Spadaro, Lyubomyr Zdomskyy
We study selective and game-theoretic versions of properties like the ccc, weak Lindelöfness and separability, giving various characterizations of them and exploring connections be…
On topological properties of the weak topology of a Banach space
Saak Gabriyelyan, Jerzy Kakol, Lyubomyr Zdomskyy
Being motivated by the famous Kaplansky theorem we study various sequential properties of a Banach space and its closed unit ball , both endowed with the weak topology of $E…