Strongly uplifting cardinals and the boldface resurrection axioms

DOI10.1007/s00153-017-0542-yzbMath1417.03269arXiv1403.2788OpenAlexW2963642076MaRDI QIDQ2408086

Thomas A. Johnstone, Joel David Hamkins

Publication date: 9 October 2017

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

Full work available at URL: https://arxiv.org/abs/1403.2788

zbMATH Keywords

forcinglarge cardinalsresurrection axiom

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Generic absoluteness and forcing axioms (03E57)

Related Items (6)

Open determinacy for class games ⋮ Diagonal reflections on squares ⋮ Resurrection axioms and uplifting cardinals ⋮ HIERARCHIES OF (VIRTUAL) RESURRECTION AXIOMS ⋮ Superstrong and other large cardinals are never Laver indestructible ⋮ COMBINING RESURRECTION AND MAXIMALITY

Cites Work

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• Diamond (on the regulars) can fail at any strongly unfoldable cardinal
• Indestructible strong unfoldability
• The lottery preparation
• Resurrection axioms and uplifting cardinals
• Unfoldable cardinals and the GCH
• What is the theory without power set?
• Chains of end elementary extensions of models of set theory
• The bounded proper forcing axiom
• Hierarchies of forcing axioms I
• Strongly unfoldable cardinals made indestructible

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