Universally meager sets

DOI10.1090/S0002-9939-00-05726-9zbMath0967.03043OpenAlexW1523737635MaRDI QIDQ2706595

Piotr Zakrzewski

Publication date: 20 March 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05726-9

zbMATH Keywords

\(\sigma\)-algebraBorel setsBaire property\(\sigma\)-idealmeasure and categoryuniversally meager sets

Mathematics Subject Classification ID

Descriptive set theory (03E15) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Baire category, Baire spaces (54E52) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05)

Related Items (18)

Perfectly meager sets and universally null sets ⋮ On the Class of Perfectly Null Sets and Its Transitive Version ⋮ MEAGER-ADDITIVE SETS IN TOPOLOGICAL GROUPS ⋮ On countably perfectly meager and countably perfectly null sets ⋮ On Borel mappings and \(\sigma\)-ideals generated by closed sets ⋮ Universally meager sets. II ⋮ Hereditary topological diagonalizations and the Menger-Hurewicz Conjectures ⋮ Dirichlet sets, Erdős-Kunen-Mauldin theorem, and analytic subgroups of the reals ⋮ On perfectly meager sets ⋮ On absolutely Baire nonmeasurable functions ⋮ Uniform Algebras in the Cantor and Baire Spaces ⋮ Baire category properties of some Baire type function spaces ⋮ Strong measure zero and meager-additive sets through the prism of fractal measures ⋮ Menger subsets of the Sorgenfrey line ⋮ Not every $Q$-set is perfectly meager in the transitive sense ⋮ COUNTABLY PERFECTLY MEAGER SETS ⋮ Extending Baire Property by countably many sets ⋮ Remarks on small sets of reals

Cites Work

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• The combinatorics of open covers. II
• Mapping a set of reals onto the reals
• Products of Perfectly Meagre Sets
• Towers Are Universally Measure Zero and Always of First Category
• Not every $Q$-set is perfectly meager in the transitive sense
• Extending Baire Property by countably many sets

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