3 papers
math.LO2026
Infima and cardinal characteristics of critical ideals for countable compact spaces
Malgorzata Kowalczuk
For each countable ordinal , the ideals were introduced in ``Critical ideals for countable compact spaces'' (to appear in Fund. Math., see also arXiv:2503…
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.GN2025
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+…