Easton's theorem and large cardinals

DOI10.1016/j.apal.2008.02.001zbMath1145.03032OpenAlexW2023628706MaRDI QIDQ932575

Sy-David Friedman, Radek Honzík

Publication date: 11 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.apal.2008.02.001

zbMATH Keywords

liftingEaston's theoremhypermeasurable and strong cardinals

Mathematics Subject Classification ID

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

Related Items (11)

Easton's theorem in the presence of Woodin cardinals ⋮ Singular cardinals and strong extenders ⋮ On supercompactness and the continuum function ⋮ A definable failure of the singular cardinal hypothesis ⋮ Global singularization and the failure of SCH ⋮ An Easton like theorem in the presence of Shelah cardinals ⋮ Easton's theorem and large cardinals from the optimal hypothesis ⋮ Easton's theorem for the tree property below \(\aleph_\omega\) ⋮ The failure of GCH at a degree of supercompactness ⋮ Easton's theorem for Ramsey and strongly Ramsey cardinals ⋮ Normal measures on large cardinals

Cites Work

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• The negation of the singular cardinal hypothesis from \(o(\kappa)=\kappa ^{++}\)
• The core model for sequences of measures. I
• Perfect trees and elementary embeddings
• Perfect-set forcing for uncountable cardinals
• A Model in Which GCH Holds at Successors but Fails at Limits
• Consistency Results Concerning Supercompactness
• Powers of regular cardinals

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