Chang's conjecture for \(\aleph_\omega\)

DOI10.1007/BF02937302zbMath0696.03023WikidataQ123141231 ScholiaQ123141231MaRDI QIDQ910400

Menachem Magidor, Jean-Pierre Levinski, Saharon Shelah

Publication date: 1990

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Chang's conjectureGCHgap-one two-cardinal modelstransfer properties

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Continuum hypothesis and Martin's axiom (03E50) Set-theoretic model theory (03C55)

Related Items (26)

Sequentially linearly Lindelöf spaces ⋮ Almost compatible functions and infinite length games ⋮ Cofinality of normal ideals on \(P_\kappa(\lambda)\). II ⋮ Two-cardinal diamond star ⋮ Covering versus partitioning with Polish spaces ⋮ New combinatorial principle on singular cardinals and normal ideals ⋮ Partitioning subsets of stable models ⋮ The Borel partition spectrum at successors of singular cardinals ⋮ USUBA’S PRINCIPLE CAN FAIL AT SINGULAR CARDINALS ⋮ A very weak square principle ⋮ Stationary and closed rainbow subsets ⋮ Applications of PCF theory ⋮ Noetherian type in topological products ⋮ Forcing Axioms, Supercompact Cardinals, Singular Cardinal Combinatorics ⋮ Weak saturation of ideals on P _κ (λ) ⋮ Collapsing successors of singulars ⋮ Borel's conjecture in topological groups ⋮ Some consequences of reflection on the approachability ideal ⋮ Non-reflection of the bad set for \(\check{I}_\theta[\lambda\) and pcf] ⋮ On two topological cardinal invariants of an order-theoretic flavour ⋮ Canonical structure in the universe of set theory. II. ⋮ Generic Embeddings and the Failure of Box ⋮ CHANG’S CONJECTURE, GENERIC ELEMENTARY EMBEDDINGS AND INNER MODELS FOR HUGE CARDINALS ⋮ INFINITE COMBINATORICS PLAIN AND SIMPLE ⋮ On the consistency of local and global versions of Chang’s Conjecture ⋮ The independence of \(\mathsf{GCH}\) and a combinatorial principle related to Banach-Mazur games

Cites Work

• Unnamed Item
• Some principles related to Chang's conjecture
• On the consistency strength of accessible Jonsson cardinals and of the weak Chang conjecture
• Instances of the conjecture of Chang
• Proper forcing
• Some Stationary Subsets of (λ)
• Large Cardinals and Strong Model Theoretic Transfer Properties
• Saturated ideals
• Some strong axioms of infinity incompatible with the axiom of constructibility

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