Strong compactness, square, GCH, and Woodin cardinals

DOI10.1017/JSL.2022.62MaRDI QIDQ6642877

Arthur W. Apter

Publication date: 25 November 2024

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

zbMATH Keywords

strongly compact cardinalsquaresupercompact cardinalWoodin cardinal

Mathematics Subject Classification ID

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

Cites Work

• Diamond, square, and level by level equivalence
• Measurable cardinals and the continuum hypothesis
• Inaccessible cardinals, failures of GCH, and level-by-level equivalence
• Identity crises and strong compactness
• Squares, scales and stationary reflection
• Square in core models
• A Core Model Toolbox and Guide
• How large is the first strongly compact cardinal? or a study on identity crises
• Strong axioms of infinity and elementary embeddings
• Gap Forcing: Generalizing the Lévy-Solovay Theorem
• Small forcing creates neither strong nor Woodin cardinals
• Gap forcing

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