The ideal \((a)\) revisited and its applications to the Ellentuck topology

DOI10.4064/cm9323-5-2024MaRDI QIDQ6654936

Anna Wąsik, Andrzej Nowik

Publication date: 20 December 2024

Published in: Colloquium Mathematicum (Search for Journal in Brave)

zbMATH Keywords

density topologyidealsMarczewski-Burstin representationEllentuck topology

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Connected and locally connected spaces (general aspects) (54D05) Density, gaps, topology (11B05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Other combinatorial set theory (03E05)

Cites Work

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• On the sets of discontinuity points of functions satisfying some approximate quasi-continuity conditions.
• Sur une classe de fonctions de M. Sierpiński et la classe correspondante d'ensembles.
• On some ideal defined by density topology in the Cantor set
• The ideal (a) is not G_δ generated
• A category analogue of the density topology
• ON AN IDEAL OF LINEAR SETS
• On some $\sigma $-ideal without ccc

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