Perfect trees and elementary embeddings

DOI10.2178/jsl/1230396754zbMath1160.03035OpenAlexW2023273089MaRDI QIDQ3617368

Katherine Thompson, Sy-David Friedman

Publication date: 23 March 2009

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

Full work available at URL: https://doi.org/10.2178/jsl/1230396754

zbMATH Keywords

internal consistencyelementary embeddinglarge cardinal preservationperfect trees

Mathematics Subject Classification ID

Large cardinals (03E55)

Related Items (14)

A lifting argument for the generalized Grigorieff forcing ⋮ The structure of the Mitchell order. I ⋮ Easton's theorem in the presence of Woodin cardinals ⋮ A definable failure of the singular cardinal hypothesis ⋮ THE HALPERN–LÄUCHLI THEOREM AT A MEASURABLE CARDINAL ⋮ Global singularization and the failure of SCH ⋮ Definable normal measures ⋮ NORMAL MEASURES ON A TALL CARDINAL ⋮ Easton's theorem and large cardinals ⋮ A Laver-like indestructibility for hypermeasurable cardinals ⋮ Small universal families for graphs omitting cliques without GCH ⋮ Easton's theorem and large cardinals from the optimal hypothesis ⋮ The failure of GCH at a degree of supercompactness ⋮ Normal measures on large cardinals

Cites Work

• The negation of the singular cardinal hypothesis from \(o(\kappa)=\kappa ^{++}\)
• Fine structure and class forcing
• Cardinal invariants above the continuum
• Internal consistency and global co-stationarity of the ground model
• Perfect-set forcing for uncountable cardinals
• Minimal α-degrees

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