HOD-supercompactness, Indestructibility, and Level by Level Equivalence

DOI10.4064/ba62-3-1zbMath1311.03073OpenAlexW2329779838MaRDI QIDQ2939985

Shoshana Friedman, Arthur W. Apter

Publication date: 23 January 2015

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8935d590a0ea129cea1d3c28e05aa368bdf14cf2

zbMATH Keywords

strongly compact cardinalmeasurable cardinalsupercompact cardinalHODlevel by level equivalence between strong compactness and supercompactness

Mathematics Subject Classification ID

Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55)

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Cites Work

• Indestructibility and the level-by-level agreement between strong compactness and supercompactness
• Large cardinals with few measures
• Strong axioms of infinity and elementary embeddings
• On the strong equality between supercompactness and strong compactness
• Identity crises and strong compactness. II: Strong cardinals