Is there a set of reals not in \(K(\mathbb{R})\)?

DOI10.1016/S0168-0072(98)00003-7zbMath0932.03059MaRDI QIDQ1295373

Daniel W. Cunningham

Publication date: 2 September 1999

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

zbMATH Keywords

measurable cardinallarge cardinalsdescriptive set theorydeterminacyinner model theoryreal core modelweak iterability

Mathematics Subject Classification ID

Descriptive set theory (03E15) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55) Determinacy principles (03E60)

Related Items (5)

The real core model and its scales ⋮ A covering lemma for \(K(\mathbb{R})\) ⋮ Scales of minimal complexity in \({K(\mathbb{R})}\) ⋮ A strong partition cardinal above \(\varTheta \) ⋮ The fine structure of real mice

Cites Work

• Descriptive set theory
• The real core model and its scales
• An extension of Borel determinacy
• Core models
• Scales in K(ℝ) at the end of a weak gap
• The axiom of determinacy implies dependent choices in L(R)
• The core model
• The fine structure of real mice
• HOD^L(ℝ) is a Core Model Below Θ
• On the Cardinality of $$ \sum_2^1 $$ Sets of Reals
• The fine structure of the constructible hierarchy
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