Regularity properties of definable sets of reals

DOI10.1016/0168-0072(85)90003-XzbMath0583.03033MaRDI QIDQ1069930

Jacques Stern

Publication date: 1985

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

zbMATH Keywords

Baire propertyLebesgue measurabilityperfect set theoremforcing with topologically ordered setsordinal definabilitystandard model of ZFC

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45)

Related Items (11)

The strength of measurability hypotheses ⋮ Sweet \& sour and other flavours of ccc forcing notions ⋮ Regularity properties for dominating projective sets ⋮ Universal forcing notions and ideals ⋮ Set theory and the analyst ⋮ Tiltan and superclub ⋮ Do stronger definitions of randomness exist? ⋮ Exact equiconsistency results for \(\Delta_ 3^ 1\)-sets of reals ⋮ A Paradox Arising from the Elimination of a Paradox ⋮ The existence of non-trivial bounded functionals implies the Hahn-Banach extension theorem ⋮ Parameterized partition relations on the real numbers

Cites Work

• Can you take Solovay's inaccessible away?
• A mathematical proof of S. Shelah's theorem on the measure problem and related results
• Descriptive set theory
• A model of set-theory in which every set of reals is Lebesgue measurable
• Iterated Cohen extensions and Souslin's problem
• σ-Ideaux Engendres Par Des Ensembles Fermes Et Theoremes D'Approximation
• Happy families
• On a Notion of Smallness for Subsets of the Baire Space
• Internal cohen extensions

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