On the Singular Cardinal Hypothesis

DOI10.2307/2153949zbMath0758.03024arXivmath/9204202OpenAlexW2950455666MaRDI QIDQ3989195

William J. Mitchell

Publication date: 28 June 1992

Full work available at URL: https://arxiv.org/abs/math/9204202

zbMATH Keywords

inner modelMitchell ordersingular strong limitcovering lemma for the core model of a sequence of measureslower bounds for the consistency strength of the failure of the singular cardinals hypothesis

Mathematics Subject Classification ID

Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55)

Related Items (7)

Definable Singularity ⋮ Subcomplete forcing principles and definable well‐orders ⋮ Negating the Galvin property ⋮ A measurable cardinal with a closed unbounded set of inaccessibles from $o(\kappa )=\kappa $ ⋮ The strength of the failure of the singular cardinal hypothesis ⋮ Indiscernible sequences for extenders, and the singular cardinal hypothesis ⋮ A characterization of generalized Příkrý sequences

Cites Work

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• On measurable cardinals violating the continuum hypothesis
• The negation of the singular cardinal hypothesis from \(o(\kappa)=\kappa ^{++}\)
• The strength of the failure of the singular cardinal hypothesis
• Sets constructed from sequences of measures: Revisited
• The core model for sequences of measures. I
• Sets constructible from sequences of ultrafilters

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