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math.FA2026
Characterized subgroups on the unit circle
Rafal Filipow, Adam kwela, Paolo Leonetti +1
Given an ideal on , a subgroup of the unit circle is said to be -characterized if there exists an integer sequence …
math.GN2026
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…
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…