7 citations · 13 across the 3 of their papers we have counts for
6 papers · 1 filter
On M-separability of countable spaces and function spaces
Dušan Repovš, Lyubomyr Zdomskyy
We study M-separability as well as some other combinatorial versions of separability. In particular, we show that the set-theoretic hypothesis b=d implies that the class of selecti…
o-Boundedness of free topological groups
Taras Banakh, Dušan Repovš, Lyubomyr Zdomskyy
Assuming the absence of Q-points (which is consistent with ZFC) we prove that the free topological group over a Tychonov space is -bounded if and only if every contin…
Fréchet-Urysohn fans in free topological groups
Taras Banakh, Dušan Repovš, Lyubomyr Zdomskyy
In this paper we answer the question of T. Banakh and M. Zarichnyi constructing a copy of the Fréchet-Urysohn fan $S_\w$ in a topological group admitting a functorial embedding…
A semifilter approach to selection principles II: tau*-covers
Lyubomyr Zdomskyy
In this paper we settle all questions whether (it is consistent that) the properties P and Q [do not] coincide, where P and Q run over selection principles of the type U_fin(O,A).
Can a Borel group be generated by a Hurewicz subspace?
Lyubomyr Zdomskyy
In this paper we formulate three problems concerning topological properties of sets generating Borel non-sigma-compact groups. In case of the concrete F_σδ-subgroup of the Cantor g…
o-Boundedness of free objects over a Tychonoff space
Lyubomyr Zdomskyy
In this paper we characterize [strict] o-boundedness of the free (abelian) topological group F(X) (A(X)) as well as the free locally-convex linear topological space L(X) in terms o…