Universal sets for ideals

DOI10.4064/ba8146-5-2018zbMath1420.54052arXiv1907.08323OpenAlexW3098124899WikidataQ128845823 ScholiaQ128845823MaRDI QIDQ4614166

Marcin Michalski, Aleksander Cieślak

Publication date: 30 January 2019

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.08323

zbMATH Keywords

Polish spaceabsoluteBorel complexityuniversal setFubini productBorel rank

Mathematics Subject Classification ID

Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Generic absoluteness and forcing axioms (03E57)

Related Items

Ideals with Smital properties

Cites Work

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• Uniquely universal sets
• Measure-category properties of Borel plane sets and Borel functions of two variables
• Sacks forcing, Laver forcing, and Martin's axiom
• Fubini properties of ideals
• Uniquely universal sets in \(\mathbb{R} \times \omega\) and \([0, 1 \times \omega\)]
• Generalized Luzin sets
• Ideals with bases of unbounded Borel complexity
• On ideals of subsets of the plane and on Cohen reals
• Descriptive set theory and definable forcing
• Cofinalities of Marczewski-like ideals
• Set Theory

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