Instances of dependent choice and the measurability of \(\aleph _{\omega +1}\)

DOI10.1016/0168-0072(94)00039-6zbMath0842.03038OpenAlexW1970365987MaRDI QIDQ1896612

Arthur W. Apter, Menachem Magidor

Publication date: 24 July 1996

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(94)00039-6

zbMATH Keywords

measurable cardinaldependent choice

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Axiom of choice and related propositions (03E25)

Related Items (4)

The first measurable cardinal can be the first uncountable regular cardinal at any successor height ⋮ Controlling the number of normal measures at successor cardinals ⋮ Combinatorial properties and dependent choice in symmetric extensions based on Lévy collapse ⋮ Polarized relations at singulars over successors

Cites Work

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• Infinitary combinatorics and the axiom of determinateness
• On the singular cardinals problem. I
• Set theory without choice: Not everything on cofinality is possible
• Successors of singular cardinals and measurability
• Measurable cardinals and the continuum hypothesis
• On a Problem of Silver
• An AD-like model
• Projective determinacy
• A Proof of Projective Determinacy
• Relative consistency results via strong compactness
• A combinatorial property of p_κλ
• Successors of singular cardinals and measurability revisited
• Some applications of model theory in set theory
• On sequences generic in the sense of Prikry
• The axiom of choice

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