Ideals with Smital properties

DOI10.1007/S00153-023-00867-5arXiv2102.03287OpenAlexW3128665106MaRDI QIDQ6103514

Marcin Michalski, Robert Rałowski, Szymon Żeberski

Publication date: 5 June 2023

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2102.03287

zbMATH Keywords

countable chain conditionFubini productSmital propertySteinhaus propertyorthogonal idealsmaximal invariant ideal

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Applications of set theory (03E75) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Cardinal characteristics of the continuum (03E17)

Cites Work

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• On invariant ccc \(\sigma\)-ideals on \(2^{\mathbb N}\)
• On Smital properties
• Some properties of \(\mathcal{I}\)-Luzin sets
• On intersections of sets of positive Lebesgue measure
• Ideals with bases of unbounded Borel complexity
• Partitions of the Plane Into Sets Having Positive Measure in Every Non-Null Measurable Product Set
• Universal sets for ideals

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