A lifting argument for the generalized Grigorieff forcing

DOI10.1215/00294527-3459833zbMath1350.03036OpenAlexW2186385811MaRDI QIDQ286703

Radek Honzík, Jonathan L. Verner

Publication date: 25 May 2016

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ndjfl/1452175099

zbMATH Keywords

Grigorieff forcinglifting argumentpreserving measurability

Mathematics Subject Classification ID

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

Related Items (1)

A Laver-like indestructibility for hypermeasurable cardinals

Cites Work

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• Fusion and large cardinal preservation
• Uncountable superperfect forcing and minimality
• Grigorieff forcing on uncountable cardinals does not add a generic of minimal degree
• The negation of the singular cardinal hypothesis from \(o(\kappa)=\kappa ^{++}\)
• A definable failure of the singular cardinal hypothesis
• Iterated Forcing and Elementary Embeddings
• Supercompactness and failures of GCH
• The number of normal measures
• Perfect trees and elementary embeddings
• Perfect-set forcing for uncountable cardinals
• Combinatorics on ideals and forcing
• Measurable cardinals and the cofinality of the symmetric group

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