Inaccessible cardinals, failures of GCH, and level-by-level equivalence

DOI10.1215/00294527-2798691zbMath1335.03044OpenAlexW2104051141MaRDI QIDQ2258537

Arthur W. Apter

Publication date: 26 February 2015

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ndjfl/1415382950

zbMATH Keywords

strongly compact cardinalinaccessible cardinalsupercompact cardinalgeneralized continuum hypothesislevel-by-level equivalence between strong compactness and supercompactness

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Filters and large cardinals
• Measurable cardinals and the continuum hypothesis
• On level by level equivalence and inequivalence between strong compactness and supercompactness
• Supercompactness and measurable limits of strong cardinals II: Applications to level by level equivalence
• On strong compactness and supercompactness
• On the Existence of Nonregular Ultrafilters and the Cardinality of Ultrapowers
• Gap Forcing: Generalizing the Lévy-Solovay Theorem
• Some structural results concerning supercompact cardinals
• Menas’ Result is Best Possible
• On the strong equality between supercompactness and strong compactness
• Gap forcing

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