Large Cardinals and Strong Model Theoretic Transfer Properties

DOI10.2307/1998706zbMath0494.03034OpenAlexW4244434408MaRDI QIDQ3956929

Matthew Foreman

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1998706

zbMATH Keywords

iterated forcingChang's conjecturemaster conditionsdownward transfer principle

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Set-theoretic model theory (03C55)

Related Items

Smoke and mirrors: combinatorial properties of small cardinals equiconsistent with huge cardinals ⋮ Potent Axioms ⋮ On a Chang conjecture ⋮ Chang's conjecture and weak square ⋮ Generic at ⋮ Chang's conjecture for \(\aleph_\omega\) ⋮ Consistency strength of higher Chang's conjecture, without CH ⋮ Kunen and set theory ⋮ THE EIGHTFOLD WAY ⋮ Topological Applications of Generic Huge Embeddings ⋮ Large ideals on small cardinals ⋮ Instances of the conjecture of Chang ⋮ Reflecting Lindelöfness

Cites Work

• Strong axioms of infinity and elementary embeddings
• Saturated ideals
• Unnamed Item