A. Kwela

activity

20132026

most citedCharacterizing existence of certain ultrafilters

6 citations · 16 across the 15 of their papers we have counts for

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9 papers · 1 filter

math.GN2026

Are scales Fréchet?

Raul Figueroa-Sierra, Osvaldo Guzmán, Michael Hrušák +1

We continue the study of Dow spaces of a $b$ -scale, originally introduced by Alan Dow in " $π$ -Weight and the Fréchet-Urysohn property" (Topology and its Applications, Vo…

math.GN2026

A new order for ideal sequential compactness

Adam Kwela, Dorota Lesner

Let $I$ be an ideal on $ω$ and $X$ be a topological space. A sequence $(x_{n})_{n \in ω}$ in $X$ is $I$ -convergent if there is $x \in X$ such that $\{n\in ω:x_n\not…

math.GN2026

Sets of Ramsey-limit points and IP-limit points

Rafał Filipów, Adam Kwela, Paolo Leonetti

Let $X$ be an uncountable Polish space and let $H$ be the Hindman ideal, that is, the family of all $S \subseteq ω$ which are not $I P$ -sets. For each sequence $x=(x_n)_{n…

math.GN2026

Critical partition regular functions for compact spaces

Rafał Filipów, Małgorzata Kowalczuk, Hubert Książek +2

We study ideal-based refinements of sequential compactness arising from the class FinBW(I), consisting of topological spaces in which every sequence admits a convergent subsequence…

math.GN2025

Critical ideals for compact spaces

Rafał Filipów, Małgorzata Kowalczuk, Adam Kwela

For each countable ordinal $α$ , we introduce an ideal $co n v_{α}$ and use it to characterize the class of all compact countable spaces which are homeomorphic to the space $ω^α\cdot n+…

math.GN2024

Borel complexity of sets of ideal limit points

Rafal Filipow, Adam Kwela, Paolo Leonetti

Let $X$ be an uncountable Polish space and let $I$ be an ideal on $ω$ . A point $η \in X$ is an $I$ -limit point of a sequence $(x_{n})$ taking values in $X$ if ther…