4 citations · 5 across the 9 of their papers we have counts for
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Sets of Ramsey-limit points and IP-limit points
Rafał Filipów, Adam Kwela, Paolo Leonetti
Let be an uncountable Polish space and let be the Hindman ideal, that is, the family of all which are not -sets. For each sequence $x=(x_n)_{n…
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…
Critical ideals for compact spaces
Rafał Filipów, Małgorzata Kowalczuk, Adam Kwela
For each countable ordinal , we introduce an ideal and use it to characterize the class of all compact countable spaces which are homeomorphic to the space $ω^α\cdot n+…
Spaces not distinguishing ideal pointwise and -uniform convergence
Rafał Filipów, Adam Kwela
We examine topological spaces not distinguishing ideal pointwise and ideal -uniform convergence of sequences of real-valued continuous functions defined on them. For instance, w…
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,…