Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 257-275 |
| Number of pages | 19 |
| Journal | Fundamenta Mathematicae |
| Volume | 253 |
| Issue number | 3 |
| DOIs | |
| State | Published - 2021 |
Keywords
- Additivity number
- Menger property
- Products of concentrated sets
- Reaping number
- Scales
- Scheepers property
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
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