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math.CO2025
Scales, products and the second row of the Scheepers diagram
Michał Pawlikowski, Piotr Szewczak, Lyubomyr Zdomskyy
We consider products of sets of reals with a combinatorial structure based on scales parameterized by filters. This kind of sets were intensively investigated in products of spaces…
math.CO2021
Abstract colorings, games and ultrafilters
Piotr Szewczak
The main result provide a common generalization for Ramsey-type theorems concerning finite colorings of edge sets of complete graphs with vertices in infinite semigroups. We captur…