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 2026Show all

5 papers · 1 filter

math.FA2026

Characterized subgroups on the unit circle

Rafal Filipow, Adam kwela, Paolo Leonetti +1

Given an ideal $I$ on $ω$ , a subgroup $H$ of the unit circle $T$ is said to be $I$ -characterized if there exists an integer sequence $a = (a_{n} : n \in ω)$ …

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…