Rafał Filipów

activity

20232026

most citedYet another ideal version of the bounding number

4 citations · 5 across the 9 of their papers we have counts for

collaborators

10 papers

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

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.

math.GN2023

Spaces not distinguishing ideal pointwise and $σ$ -uniform convergence

Rafał Filipów, Adam Kwela

We examine topological spaces not distinguishing ideal pointwise and ideal $σ$ -uniform convergence of sequences of real-valued continuous functions defined on them. For instance, w…

math.LO2023★ 4 cited

Yet another ideal version of the bounding number

Rafał Filipów, Adam Kwela

Let $I$ be an ideal on $ω$ . For $f, g \in ω^{ω}$ we write $f \leq_{I} g$ if $f (n) \leq g (n)$ for all $n \in ω ∖ A$ with some $A \in I$ . Moreover, we den…

math.GN2023

A unified approach to Hindman, Ramsey and van der Waerden spaces

Rafał Filipów, Krzysztof Kowitz, Adam Kwela

For many years, there have been conducting research (e.g. by Bergelson, Furstenberg, Kojman, Kubiś, Shelah, Szeptycki, Weiss) into sequentially compact spaces that are, in a sense,…

math.LO2023★ 1 cited

Katětov order between Hindman, Ramsey, van der Waerden and summable ideals

Rafał Filipów, Krzysztof Kowitz, Adam Kwela

A family I of subsets of a set X is an ideal on X if it is closed under taking subsets and finite unions of its elements. An ideal I on X is below an ideal J on Y in the Katetov or…

Characterized subgroups on the unit circle

Sets of Ramsey-limit points and IP-limit points

Critical partition regular functions for compact spaces

Two b or not two b?

Critical ideals for compact spaces

Path of pathology

Spaces not distinguishing ideal pointwise and σ-uniform convergence

Yet another ideal version of the bounding number

A unified approach to Hindman, Ramsey and van der Waerden spaces

Katětov order between Hindman, Ramsey, van der Waerden and summable ideals

Two $b$ or not two $b$ ?

Spaces not distinguishing ideal pointwise and $σ$ -uniform convergence