Piotr Szewczak, Boaz Tsaban, Lyubomyr Zdomskyy
Published 2019-03-07Version 1
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 forcing-theoretic argument, we show that the same holds in the Blass--Shelah model for arbitrary values of the ultrafilter and dominating number.
A counterexample in the theory of $D$-spaces
A new Lindelof topological group
Finite powers of selectively pseudocompact groups
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