Finite Powers And Products Of Menger Sets

Piotr Szewczak,Boaz Tsaban,Lyubomyr Zdomskyy

FUNDAMENTA MATHEMATICAE（2021）

引用 3|浏览19

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摘要

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 number and the dominating number.

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关键词

Menger property, Scheepers property, additivity number, products of concentrated sets, reaping number, scales

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