Applications of the Covering Lemma for Sequences of Measures

DOI10.2307/2000480zbMath0626.03047OpenAlexW4235477251WikidataQ124838738 ScholiaQ124838738MaRDI QIDQ3029006

William J. Mitchell

Publication date: 1987

Full work available at URL: https://doi.org/10.2307/2000480

zbMATH Keywords

ultrafiltercore modelregular cardinalcovering lemmaindiscernibleslarge cardinalelementary embeddingsequences of measuresminimal inner model

Mathematics Subject Classification ID

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

Related Items (15)

Some results on the nonstationary ideal ⋮ Some results on the nonstationary ideal. II ⋮ Chang's model and covering properties ⋮ A cardinal preserving extension making the set of points of countable \(V\) cofinality nonstationary ⋮ Bounding 2d functions by products of 1d functions ⋮ STRUCTURAL PROPERTIES OF THE STABLE CORE ⋮ Singularizing successor cardinals by forcing ⋮ When cardinals determine the power set: inner models and Härtig quantifier logic ⋮ Covering at limit cardinals of K ⋮ On the strength of no normal precipitous filter ⋮ 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 ⋮ Covering theorems for the core model, and an application to stationary set reflection ⋮ On gaps under GCH type assumptions

Cites Work

• The core model for sequences of measures. I
• The covering lemma for L[U]
• The core model
• Sets constructible from sequences of ultrafilters
• Changing cofinality of cardinals
• Boolean extensions and measurable cardinals
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• Unnamed Item

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