Closed maximality principles: implications, separations and combinations

DOI10.2178/jsl/1208358754zbMath1157.03027OpenAlexW2028921653MaRDI QIDQ5387313

Gunter Fuchs

Publication date: 8 May 2008

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

Full work available at URL: https://projecteuclid.org/euclid.jsl/1208358754

zbMATH Keywords

forcing axiomsmaximality principles

Mathematics Subject Classification ID

Consistency and independence results (03E35) Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55) Other aspects of forcing and Boolean-valued models (03E40)

Related Items (13)

-definability at uncountable regular cardinals ⋮ The modal logic of abelian groups ⋮ Subcomplete forcing principles and definable well‐orders ⋮ PERFECT SUBSETS OF GENERALIZED BAIRE SPACES AND LONG GAMES ⋮ Iteratively changing the heights of automorphism towers ⋮ Generic embeddings associated to an indestructibly weakly compact cardinal ⋮ HIERARCHIES OF (VIRTUAL) RESURRECTION AXIOMS ⋮ Structural connections between a forcing class and its modal logic ⋮ Generalizations of the Kunen inconsistency ⋮ SUBCOMPLETE FORCING, TREES, AND GENERIC ABSOLUTENESS ⋮ Set-theoretic geology ⋮ Closed maximality principles and generalized Baire spaces ⋮ COMBINING RESURRECTION AND MAXIMALITY

Cites Work

• Unnamed Item
• Set theory. An introduction to independence proofs
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• The Souslin problem
• Changing the heights of automorphism towers
• The maximality of the core model
• Extensions with the approximation and cover properties have no new large cardinals
• The Necessary Maximality Principle for c. c. c. forcing is equiconsistent with a weakly compact cardinal

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