Possible behaviours for the Mitchell ordering

DOI10.1016/0168-0072(93)90034-BzbMath0794.03071MaRDI QIDQ1314638

James Cummings

Publication date: 7 March 1994

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

zbMATH Keywords

inner modelmeasurable cardinalMitchell orderingreverse Easton extension of the core modelreverse Easton forcing

Mathematics Subject Classification ID

Large cardinals (03E55)

Related Items (9)

The structure of the Mitchell order. I ⋮ Possible behaviours for the Mitchell ordering II ⋮ Any behaviour of the Mitchell ordering of normal measures is possible ⋮ The structure of the Mitchell order. II. ⋮ Indestructibility and measurable cardinals with few and many measures ⋮ Normal measures and strongly compact cardinals ⋮ Infinite decreasing chains in the Mitchell order ⋮ Large cardinals with few measures ⋮ Normal measures on large cardinals

Cites Work

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• The core model for sequences of measures. I
• The ⊲-ordering on normal ultrafilters
• Sets constructible from sequences of ultrafilters
• Possible behaviours for the Mitchell ordering II

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