Large cardinals and large dilators

DOI10.2307/2586663zbMath0926.03070OpenAlexW2113907724MaRDI QIDQ4254695

Andy Lewis

Publication date: 29 June 1999

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2586663

zbMATH Keywords

supercompact cardinalmeasurable dilatorRamsey dilatorsmall forcing extension

Mathematics Subject Classification ID

Large cardinals (03E55) Ordinal and cardinal numbers (03E10) Other aspects of forcing and Boolean-valued models (03E40) Categories of sets, characterizations (18B05) Determinacy principles (03E60)

Cites Work

• Set recursion and \(\Pi ^ 1_ 2\)-logic
• Descriptive set theory
• A strong boundedness theorem for dilators
• \(\Pi_ 2^ 1\)-logic and uniformization in the analytical hierarchy
• Supercompact cardinals, sets of reals, and weakly homogeneous trees
• Π12-logic, Part 1: Dilators