Some principles related to Chang's conjecture

DOI10.1016/0168-0072(89)90030-4zbMath0714.03048OpenAlexW2072992387WikidataQ123267844 ScholiaQ123267844MaRDI QIDQ750436

Jean-Pierre Levinski, Hans-Dieter Donder

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0168-0072(89)90030-4

zbMATH Keywords

consistency strengthcore modelindiscerniblesErdős cardinalLévy-Solovay collapsenegation of the transversal hypothesisvariants of Chang's conjecture

Mathematics Subject Classification ID

Large cardinals (03E55)

Related Items

Canonical functions, non-regular ultrafilters and Ulam's problem on ω₁, Weak saturation properties and side conditions, Characterising subsets of ω₁ constructible from a real, ASYMMETRIC CUT AND CHOOSE GAMES, Chang's conjecture with \(\square_{\omega_1, 2}\) from an \(\omega_1\)-Erdős cardinal, Chang's conjecture for \(\aleph_\omega\), Greatly Erdős cardinals with some generalizations to the Chang and Ramsey properties, Cardinal elementary extensions, Countable unions of simple sets in the core model, Ramsey-like cardinals II, On a convenient property about \([\gamma^{\aleph_0}\)], Polarized relations at singulars over successors, On strong chains of uncountable functions, Prevalence of Generic Laver Diamond, Bounded Martin's Maximum, weak Erdӧs cardinals, and ψ_Ac

Cites Work

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• On the consistency strength of accessible Jonsson cardinals and of the weak Chang conjecture
• Inequalities for cardinal powers
• Core models
• Generalized erdoös cardinals and O4
• A note on cardinal exponentiation
• Saturation Properties of Ideals in Generic Extensions.II
• Nonregular Ultrafilters and Large Cardinals
• Chang's conjecture and powers of singular cardinals