2 papers
math.GN2025
On Sierpiński sets, Hurewicz spaces and Hilgers functions
Witold Marciszewski, Roman Pol, Piotr Zakrzewski
The Hurewicz property is a classical generalization of -compactness and Sierpiński sets (whose existence follows from CH) are standard examples of non--compact Hurewicz space…
math.LO2025
A note on uniform continuity of monotone functions
Roman Pol, Piotr Zakrzewski, Lyubomyr Zdomskyy
We prove that it is consistent with ZFC that for every non-decreasing function , each subset of of cardinality contains a set of cardinality…