On some questions concerning strong compactness

DOI10.1007/s00153-012-0300-0zbMath1261.03146OpenAlexW1982184070MaRDI QIDQ1938399

Arthur W. Apter

Publication date: 4 February 2013

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

Full work available at URL: https://doi.org/10.1007/s00153-012-0300-0

zbMATH Keywords

strongly compact cardinalGCHsupercompact cardinalsymmetric inner model

Mathematics Subject Classification ID

Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55) Continuum hypothesis and Martin's axiom (03E50) Axiom of choice and related propositions (03E25)

Related Items (4)

Remarks on Gitik's model and symmetric extensions on products of the Lévy collapse ⋮ Combinatorial properties and dependent choice in symmetric extensions based on Lévy collapse ⋮ Preserving Dependent Choice ⋮ Easton's theorem for Ramsey and strongly Ramsey cardinals

Cites Work

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• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• On a problem of Woodin
• Measurable cardinals and the continuum hypothesis
• Prikry-Type Forcings
• Adding closed cofinal sequences to large cardinals
• A Note on Strong Compactness and Supercompactness
• Successive large cardinals

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