Two-cardinal versions of weak compactness: partitions of pairs

DOI10.1016/j.apal.2011.08.001zbMath1254.03083OpenAlexW2033248392MaRDI QIDQ645982

Pierre Matet, Toshimichi Usuba

Publication date: 11 November 2011

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apal.2011.08.001

zbMATH Keywords

partition relationweakly compact cardinal\(P_{\kappa}^{\lambda}\)

Mathematics Subject Classification ID

Large cardinals (03E55) Partition relations (03E02)

Related Items (3)

Characterizations of the weakly compact ideal on \(P_\kappa\lambda\) ⋮ Hierarchies of ineffabilities ⋮ Two-cardinal versions of weak compactness: partitions of triples

Cites Work

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• A hierarchy of filters smaller than \(CF_{\kappa\lambda}\)
• Some partition relations for ideals on \(P_{\kappa}\lambda\)
• Ineffability of \(\mathcal{P}_{\kappa} \lambda\) for \(\lambda\) with small cofinality
• The structure of ineffability properties of \(P_{\kappa}\lambda\)
• Combinatorial characterization of \(\Pi_1^1\)-indescribability in \(P_\kappa\lambda\)
• Cofinality of normal ideals on \(P_\kappa(\lambda)\). II
• The nonstationary ideal on \(P_\kappa (\lambda )\) for \(\lambda \) singular
• More on distributive ideals
• $P_ϰ λ$ partition relations
• A note on the λ-Shelah property
• Weakly compact cardinals: A combinatorial proof
• Combinatorial Characterization of Supercompact Cardinals
• Some combinatorial problems concerning uncountable cardinals

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