Chang's conjecture and weak square

DOI10.1007/S00153-012-0305-8zbMath1327.03040OpenAlexW2138045790WikidataQ122905449 ScholiaQ122905449MaRDI QIDQ1935365

Hiroshi Sakai

Publication date: 15 February 2013

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-012-0305-8

zbMATH Keywords

consistencyChang's conjecturelarge cardinalsquare principle

Mathematics Subject Classification ID

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

Related Items (5)

The \(\ast\)-variation of the Banach-Mazur game and forcing axioms ⋮ Two applications of finite side conditions at \(\omega _2\) ⋮ Aronszajn trees, square principles, and stationary reflection ⋮ A variant of Shelah's characterization of Strong Chang's Conjecture ⋮ Chang's conjecture with \(\square_{\omega_1, 2}\) from an \(\omega_1\)-Erdős cardinal

Cites Work

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• Martin's maximum, saturated ideals, and nonregular ultrafilters. I
• Combinatorial principles in the core model for one Woodin cardinal
• Conjectures of Rado and Chang and special Aronszajn trees
• Large Cardinals and Strong Model Theoretic Transfer Properties
• Reflecting stationary sets
• The fine structure of the constructible hierarchy

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