A. Kwela

works on

characterized subgroups 1 descriptive set theory 1 ideals 1 topological groups 1 unit circle 1

From the 1 of 20 linked papers with an AI index.

collaborators

20 papers

math.FA2026

Characterized subgroups on the unit circle

Rafal Filipow, Adam kwela, Paolo Leonetti +1

The paper investigates subgroups of the unit circle that can be described via convergence along an ideal, establishing complexity bounds, connections with ideal reductions, and con…

math.GN2026

Are scales FrÃ©chet?

Raul Figueroa-Sierra, Osvaldo GuzmÃ¡n, Michael HruÅ¡Ã¡k +1

We continue the study of Dow spaces of a $b$ -scale, originally introduced by Alan Dow in " $I ¨ $ -Weight and the FrÃ©chet-Urysohn property" (Topology and its Applications,…

math.GN2026

A new order for ideal sequential compactness

Adam Kwela, Dorota Lesner

Let $I$ be an ideal on $I ¨ $ and $X$ be a topological space. A sequence $(x_{n})_{n \in I ¨ }$ in $X$ is $I$ -convergent if there is $x \in X$ such that $\{n\in Ï:x_n\…

math.GN2026

Sets of Ramsey-limit points and IP-limit points

RafaÅ FilipÃ³w, 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 I ¨ $ which are not $I P$ -sets. For each sequence $x=(x_n)_{n…

math.GN2026

Critical partition regular functions for compact spaces

RafaÅ FilipÃ³w, MaÅgorzata Kowalczuk, Hubert KsiÄ Å¼ek +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.FA2025

Zoo of ideal Schauder basis

Adam Kwela, JarosÅaw Swaczyna

We investigate the notion of filter (equivalently: ideal) Schauder basis of a Banach space. We do so by providing bunch of new examples of such bases that are not the standard ones…