21 citations · 22 across the 13 of their papers we have counts for
4 papers · 1 filter
Unbounded towers and products
Piotr Szewczak, Magdalena Włudecka
We investigate products of sets of reals with combinatorial covering properties. A topological space satisfies if for each sequence of point-cofinite open cover…
Strongly sequentially separable function spaces, via selection principles
Alexander V. Osipov, Piotr Szewczak, Boaz Tsaban
A separable space is strongly sequentially separable if, for each countable dense set, every point in the space is a limit of a sequence from the dense set. We consider this and re…
Products of Luzin-type sets with combinatorial properties
Piotr Szewczak, Grzegorz Wiśniewski
We construct Luzin-type subsets of the real line in all finite powers Rothberger, with a non-Menger product. To this end, we use a purely combinatorial approach which allows to wea…
Finite powers and products of Menger sets
Piotr Szewczak, Boaz Tsaban, Lyubomyr Zdomskyy
We construct, using mild combinatorial hypotheses, a real Menger set that is not Scheepers, and two real sets that are Menger in all finite powers, with a non-Menger product. By a…