On measurable cardinals violating the continuum hypothesis

DOI10.1016/0168-0072(93)90149-8zbMath0786.03037OpenAlexW2022175888MaRDI QIDQ687279

M. B. Gitik

Publication date: 28 November 1993

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

Full work available at URL: https://doi.org/10.1016/0168-0072(93)90149-8

zbMATH Keywords

core model with extendersWeak Covering Lemma

Mathematics Subject Classification ID

Continuum hypothesis and Martin's axiom (03E50)

Related Items (14)

On a Chang conjecture ⋮ Extender based forcings ⋮ Strong compactness and the ultrapower axiom I: the least strongly compact cardinal ⋮ On \(\kappa\)-compact cardinals ⋮ Global singularization and the failure of SCH ⋮ Singular Cardinals and the PCF Theory ⋮ CLOSURE PROPERTIES OF MEASURABLE ULTRAPOWERS ⋮ On the Singular Cardinal Hypothesis ⋮ Easton's theorem and large cardinals from the optimal hypothesis ⋮ ON THE SPLITTING NUMBER AT REGULAR CARDINALS ⋮ Indiscernible sequences for extenders, and the singular cardinal hypothesis ⋮ Indestructibility and destructible measurable cardinals ⋮ Tall cardinals ⋮ Easton's theorem for Ramsey and strongly Ramsey cardinals

Cites Work

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• On the Mitchell and Rudin-Keisler orderings of ultrafilters
• The negation of the singular cardinal hypothesis from \(o(\kappa)=\kappa ^{++}\)
• Some results on the nonstationary ideal. II
• The core model for sequences of measures. I
• Between strong and superstrong
• Changing cofinality of cardinals
• Extender based forcings
• Indiscernible sequences for extenders, and the singular cardinal hypothesis

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