Adam Kwela

most citedRanks of

F

-limits of filter sequences

9 citations · 25 across the 7 of their papers we have counts for

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4 papers · 1 filter

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…

math.LO2014★ 9 cited

Ranks of $F$ -limits of filter sequences

Adam Kwela, Ireneusz Recław

We give an exact value of the rank of an $F$ -Fubini sum of filters for the case where $F$ is a Borel filter of rank $1$ . We also consider $F$ -limits o…

Characterizing existence of certain ultrafilters

Yet another ideal version of the bounding number

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

Ranks of F-limits of filter sequences

Ranks of $F$ -limits of filter sequences