32 citations · 260 across the 75 of their papers we have counts for
4 papers · 2 filters
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…
Menger's covering property and groupwise density
Boaz Tsaban, Lyubomyr Zdomskyy
We establish a surprising connection between Menger's classical covering property and Blass's modern combinatorial notion of groupwise density. This connection implies a short proo…
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…