Inner models in the region of a Woodin limit of Woodin cardinals

DOI10.1016/S0168-0072(01)00103-8zbMath1012.03054MaRDI QIDQ1602849

Itay Neeman

Publication date: 24 June 2002

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

zbMATH Keywords

fine structureiterabilityWoodin cardinals

Mathematics Subject Classification ID

Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55)

Related Items (20)

IN SEARCH OF ULTIMATE-LTHE 19TH MIDRASHA MATHEMATICAE LECTURES ⋮ AXIOM I₀ AND HIGHER DEGREE THEORY ⋮ Woodin cardinals, Shelah cardinals, and the Mitchell-Steel core model ⋮ Translation procedures in descriptive inner model theory ⋮ Determinacy axioms and large cardinals ⋮ The exact consistency strength of the generic absoluteness for the universally Baire sets ⋮ CHARACTERIZATION OF □_κ IN CORE MODELS ⋮ Cardinal transfer properties in extender models ⋮ A brief account of recent developments in inner model theory ⋮ The weak ultrafilter axiom ⋮ GENERICITY AND LARGE CARDINALS ⋮ Iterates of the core model ⋮ SUITABLE EXTENDER MODELS I ⋮ Distinct iterable branches ⋮ Descriptive inner model theory ⋮ Counterexamples to the unique and cofinal branches hypotheses ⋮ RANK-TO-RANK EMBEDDINGS AND STEEL’S CONJECTURE ⋮ 𝖲𝖾𝖺𝗅𝗂𝗇𝗀 from iterability ⋮ PROVABLY GAMES ⋮ SEALING OF THE UNIVERSALLY BAIRE SETS

Cites Work

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• Inner models with many Woodin cardinals
• Square in Core Models
• Iteration Trees
• Fine structure for tame inner models
• A weak Dodd-Jensen lemma
• The domestic levels of \(K^c\) are iterable

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