Rafał Filipów

activity

20242026

collaborators

5 papers

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.LO2025

Two $b$ or not two $b$ ?

Rafał Filipów, Adam Kwela

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

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.LO2024

Path of pathology

Rafał Filipów, Jacek Tryba

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