Patterns of structural reflection in the large-cardinal hierarchy

DOI10.1090/TRAN/9120MaRDI QIDQ6567168

Joan Bagaria, Philipp Lücke

Publication date: 4 July 2024

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

large cardinalsWoodin cardinalsstructural reflectionsubtle cardinalsVopěnka's principleVopěnka cardinalsstrongly unfoldable cardinals

Mathematics Subject Classification ID

Large cardinals (03E55) Set-theoretic model theory (03C55) Other notions of set-theoretic definability (03E47)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• \(C ^{(n)}\)-cardinals
• Generic Vopěnka's principle, remarkable cardinals, and the weak proper forcing axiom
• Diamond (on the regulars) can fail at any strongly unfoldable cardinal
• An \(\aleph_1\)-dense ideal on \(\aleph_2\)
• Definable orthogonality classes in accessible categories are small
• Huge reflection
• The large cardinals between supercompact and almost-huge
• Strongly uplifting cardinals and the boldface resurrection axioms
• On the role of supercompact and extendible cardinals in logic
• On \(\omega_1\)-strongly compact cardinals
• Prikry-Type Forcings
• ON THE SYMBIOSIS BETWEEN MODEL-THEORETIC AND SET-THEORETIC PROPERTIES OF LARGE CARDINALS
• Some Aspects ofn-Subtlety
• Supercompact cardinals, sets of reals, and weakly homogeneous trees
• A Proof of Projective Determinacy
• Chains of end elementary extensions of models of set theory
• Strong unfoldability, shrewdness and combinatorial consequences
• Structural reflection, shrewd cardinals and the size of the continuum
• Group radicals and strongly compact cardinals
• THE WEAK VOPĚNKA PRINCIPLE FOR DEFINABLE CLASSES OF STRUCTURES
• LARGE CARDINALS AS PRINCIPLES OF STRUCTURAL REFLECTION
• Mutually stationary sequences of sets and the non-saturation of the non-stationary ideal on \(P_x(\lambda)\)
• Salce's problem on cotorsion pairs is undecidable

This page was built for publication: Patterns of structural reflection in the large-cardinal hierarchy

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6567168)