Remarks on small sets of reals

DOI10.1090/S0002-9939-02-06567-XzbMath1017.03027arXivmath/0107190MaRDI QIDQ4779869

Tomek Bartoszynski

Publication date: 28 October 2002

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

Full work available at URL: https://arxiv.org/abs/math/0107190

zbMATH Keywords

cardinal invariantsRothberger propertyperfectly meageruniversally meagernull-additivedual Borel conjecturemeager-additive

Mathematics Subject Classification ID

Consistency and independence results (03E35) Cardinal characteristics of the continuum (03E17) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80)

Related Items (9)

On countably perfectly meager and countably perfectly null sets ⋮ Universally meager sets. II ⋮ Hereditary topological diagonalizations and the Menger-Hurewicz Conjectures ⋮ More remarks on the intersection ideal ${\mathcal{M}}\cap {\mathcal{N}}$ ⋮ Uniform Algebras in the Cantor and Baire Spaces ⋮ Borel’s conjecture and meager-additive sets ⋮ On the algebraic union of strongly measure zero sets and their relatives with sets of real numbers ⋮ Borel Conjecture, dual Borel Conjecture, and other variants of the Borel Conjecture ⋮ COUNTABLY PERFECTLY MEAGER SETS

Cites Work

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• \(\gamma\)-sets and other singular sets of real numbers
• On the consistency of Borel's conjecture
• A note on perfect generalized ordered spaces
• Universally meager sets
• On perfectly meager sets
• Not every $Q$-set is perfectly meager in the transitive sense
• Strong Measure Zero and Strongly Meager Sets

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