Normal measures and strongly compact cardinals

DOI10.1007/s40574-017-0133-1zbMath1459.03084OpenAlexW2727340810MaRDI QIDQ724191

Arthur W. Apter

Publication date: 25 July 2018

Published in: Bollettino dell'Unione Matematica Italiana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40574-017-0133-1

zbMATH Keywords

strongly compact cardinalindestructibilitysupercompact cardinalMagidor iteration of Prikry forcing\((\kappa + 2)\)-strong cardinal \(\kappa \)

Mathematics Subject Classification ID

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

Cites Work

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• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• Possible behaviours for the Mitchell ordering
• Measurable cardinals and the continuum hypothesis
• Some Remarks on Normal Measures and Measurable Cardinals
• On strong compactness and supercompactness
• How large is the first strongly compact cardinal? or a study on identity crises
• Consistency Results Concerning Supercompactness
• Gap Forcing: Generalizing the Lévy-Solovay Theorem
• Laver indestructibility and the class of compact cardinals
• Identity crises and strong compactness. II: Strong cardinals
• Gap forcing

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