A strong partition cardinal above \(\varTheta \)

DOI10.1007/s00153-017-0529-8zbMath1417.03253OpenAlexW2596168809MaRDI QIDQ527339

Daniel W. Cunningham

Publication date: 11 May 2017

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-017-0529-8

zbMATH Keywords

determinacyinner modelsstrong partition cardinals

Mathematics Subject Classification ID

Descriptive set theory (03E15) Inner models, including constructibility, ordinal definability, and core models (03E45) Partition relations (03E02) Determinacy principles (03E60)

Cites Work

• A covering lemma for \(K(\mathbb{R})\)
• Infinitary combinatorics and the axiom of determinateness
• Is there a set of reals not in \(K(\mathbb{R})\)?
• The real core model and its scales
• Strong partition cardinals and determinacy in \(K(\mathbb R)\)
• An extension of Borel determinacy
• Set Theory
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