Rafał Filipów

works on

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

From the 1 of 6 linked papers with an AI index.

activity

20242026

collaborators

6 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

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.LO2025

Two $b$ or not two $b$ ?

RafaÅ FilipÃ³w, Adam Kwela

The paper is devoted to comparison of two generalizations of the bounding number $b$ .

math.GN2025

Critical ideals for compact spaces

RafaÅ FilipÃ³w, MaÅgorzata Kowalczuk, Adam Kwela

For each countable ordinal $I^\pm$ , we introduce an ideal $co n v_{I^} \pm$ and use it to characterize the class of all compact countable spaces which are homeomorphic to the space $Ï^Î±\cdo…

math.LO2024

Path of pathology

RafaÅ FilipÃ³w, Jacek Tryba

We present a few results about (non)pathology of submeasures and ideals.