On the class of measurable cardinals without the axiom of choice

DOI10.1007/BF02808226zbMath0781.03036OpenAlexW2049673182WikidataQ114693381 ScholiaQ114693381MaRDI QIDQ1802772

Arthur W. Apter

Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02808226

zbMATH Keywords

measurable cardinalconsistency strengthaxiom of choicesuccessors of singular cardinalsnormal measurealmost huge cardinalZF minus countable choice

Mathematics Subject Classification ID

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

Related Items (2)

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Cites Work

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• Measurable cardinals and the continuum hypothesis
• \(\omega_1\) can be measurable
• The generalized continuum hypothesis can fail everywhere
• Regular Cardinals in Models of ZF
• Relative consistency results via strong compactness
• A combinatorial property of p_κλ
• Successors of singular cardinals and measurability revisited
• A Relativization of Axioms of Strong Infinity to ^|^omega;1

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