32 citations · 260 across the 75 of their papers we have counts for
4 papers · 1 filter
Ways of Destruction
Barnabas Farkas, Lyubomyr Zdomskyy
We study the following natural strong variant of destroying Borel ideals: $\textit{$+$-destroys}$ if adds an -positive set whic…
Products of Menger spaces in the Miller model
Lyubomyr Zdomskyy
We prove that in the Miller model the Menger property is preserved by finite products of metrizable spaces. This answers several open questions and gives another instance of the in…
Products of -separable spaces in the Laver model
Dušan Repovš, Lyubomyr Zdomskyy
We prove that in the Laver model for the consistency of the Borel's conjecture, the product of any two -separable spaces is -separable.
Completely Baire spaces, Menger spaces, and projective sets
Franklin D. Tall, Lyubomyr Zdomskyy
W. Hurewicz proved that analytic Menger sets of reals are -compact and that co-analytic completely Baire sets of reals are completely metrizable. It is natural to try to general…