Ineffability of \(\mathcal{P}_{\kappa} \lambda\) for \(\lambda\) with small cofinality

DOI10.2969/jmsj/06030935zbMath1154.03034OpenAlexW2594332275MaRDI QIDQ945894

Toshimichi Usuba

Publication date: 18 September 2008

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

Full work available at URL: https://doi.org/10.2969/jmsj/06030935

zbMATH Keywords

ideals\(\mathcal{P}_\kappa \lambda\)almost ineffableindescribableineffableShelah property

Mathematics Subject Classification ID

Large cardinals (03E55) Other combinatorial set theory (03E05)

Related Items (8)

Two-cardinal diamond star ⋮ Piece selection and cardinal arithmetic ⋮ Two-cardinal versions of weak compactness: partitions of pairs ⋮ Notes on the partition property of \({\mathcal{P}_\kappa\lambda}\) ⋮ Characterizations of the weakly compact ideal on \(P_\kappa\lambda\) ⋮ Hierarchies of ineffabilities ⋮ Two-cardinal versions of weak compactness: partitions of triples ⋮ Guessing more sets

Cites Work

• Saturation of fundamental ideals on \({\mathcal P}_ \kappa \lambda\)
• Shelah's pcf theory and its applications
• Some partition relations for ideals on \(P_{\kappa}\lambda\)
• On the existence of strongly normal ideals over \(P_{\kappa}\lambda\)
• The structure of ineffability properties of \(P_{\kappa}\lambda\)
• Combinatorial characterization of \(\Pi_1^1\)-indescribability in \(P_\kappa\lambda\)
• Notes on subtlety and ineffability in \(P_\kappa\lambda\)
• P_xδ‐Generalizations of Weak Compactness
• On ideals and stationary reflection
• The Minimal Normal Filter on P κ λ
• The entire NS ideal on can be precipitous
• Rowbottom-Type Properties and a Cardinal Arithmetic
• Some combinatorial problems concerning uncountable cardinals
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