Cofinality and measurability of the first three uncountable cardinals

DOI10.1090/S0002-9947-2012-05497-3zbMath1306.03021OpenAlexW1966861137MaRDI QIDQ4915327

Arthur W. Apter, Steve Jackson, Benedikt Loewe

Publication date: 10 April 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2012-05497-3

zbMATH Keywords

measurabilityaxiom of choiceaxiom of determinacySuslin cardinalFeferman-Lévy modelpolarized partition property

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35) Large cardinals (03E55) Partition relations (03E02) Ordinal and cardinal numbers (03E10) Axiom of choice and related propositions (03E25) Determinacy principles (03E60)

Related Items (1)

Polarized relations at singulars over successors

Cites Work

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• Magidor-like and Radin-like forcing
• Structural Consequences of AD
• Large cardinal structures below ℵ_ω
• Determinateness and the separation property
• Relative consistency results via strong compactness
• On the compactness of ℵ₁ and ℵ₂
• Successive weakly compact or singular cardinals
• The calculus of partition sequences, changing cofinalities, and a question of Woodin
• Set Theory
• AD and patterns of singular cardinals below Θ
• Strong partition properties for infinite cardinals

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