A. Kwela

activity

20132026

most citedHomogeneous ideals on countable sets

22 citations · 105 across the 33 of their papers we have counts for

collaborators

Showing 2023 · math.LOShow all

4 papers · 2 filters

math.LO2023

Egorov ideals

Adam Kwela

We study Egorov ideals, that is ideals on $ω$ for which the Egorov's theorem for ideal versions of pointwise and uniform convergences holds. We show that a non-pathological $\bf{Σ^…

math.LO2023★ 6 cited

Characterizing existence of certain ultrafilters

Rafał Filipów, Krzysztof Kowitz, Adam Kwela

Following Baumgartner [J. Symb. Log. 60 (1995), no. 2], for an ideal $I$ on $ω$ , we say that an ultrafilter $U$ on $ω$ is an $I$ -ultrafilter if for ev…

math.LO2023★ 4 cited

Yet another ideal version of the bounding number

Rafał Filipów, Adam Kwela

Let $I$ be an ideal on $ω$ . For $f, g \in ω^{ω}$ we write $f \leq_{I} g$ if $f (n) \leq g (n)$ for all $n \in ω ∖ A$ with some $A \in I$ . Moreover, we den…

math.LO2023★ 1 cited

Katětov order between Hindman, Ramsey, van der Waerden and summable ideals

Rafał Filipów, Krzysztof Kowitz, Adam Kwela

A family I of subsets of a set X is an ideal on X if it is closed under taking subsets and finite unions of its elements. An ideal I on X is below an ideal J on Y in the Katetov or…