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math.GN2019
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…
math.GN2019
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…