Easton's theorem and large cardinals from the optimal hypothesis

DOI10.1016/J.APAL.2012.04.002zbMath1270.03094OpenAlexW1977958185MaRDI QIDQ714710

Sy-David Friedman, Radek Honzík

Publication date: 11 October 2012

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.2012.04.002

zbMATH Keywords

measurable cardinalslarge cardinalsMitchell orderEaston's theoremequiconsistency

Mathematics Subject Classification ID

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

Cites Work

• On measurable cardinals violating the continuum hypothesis
• Easton's theorem and large cardinals
• The negation of the singular cardinal hypothesis from \(o(\kappa)=\kappa ^{++}\)
• Weakly Compact Cardinals and Nonspecial Aronszajn Trees
• Iterated Forcing and Elementary Embeddings
• The core model for sequences of measures. I
• On forcing without the continuum hypothesis
• Perfect trees and elementary embeddings
• Perfect-set forcing for uncountable cardinals
• Souslin trees which are hard to specialise
• Tall cardinals
• Powers of regular cardinals
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