The ⊲-ordering on normal ultrafilters

DOI10.2307/2273982zbMath0611.03024OpenAlexW2023708198MaRDI QIDQ3751572

Stewart L. Baldwin

Publication date: 1985

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2273982

zbMATH Keywords

inner modelmeasurable cardinalforcing extensioniterabilityMitchell orderingprewellorderingnormal measurescoherent sequence of normal ultrafiltersmodels of Mitchellsequence of ultrafilters

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55)

Related Items (9)

The structure of the Mitchell order. I ⋮ Any behaviour of the Mitchell ordering of normal measures is possible ⋮ Forcing Magidor iteration over a core model below \(0^P\) ⋮ The structure of the Mitchell order. II. ⋮ Infinite decreasing chains in the Mitchell order ⋮ Many normal measures ⋮ Large cardinals with few measures ⋮ Possible behaviours for the Mitchell ordering ⋮ Normal measures on large cardinals

Cites Work

• Strong axioms of infinity and elementary embeddings
• Boolean extensions and measurable cardinals
• Some applications of iterated ultrapowers in set theory

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