Structural properties of ideals over \(\mathcal{P}_\kappa\lambda\). II

DOI10.21099/TKBJM/20234702127MaRDI QIDQ6490204

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Publication date: 23 April 2024

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

zbMATH Keywords

rigiditybounded idealnonstationary ideal\( \mathcal{P}_\kappa \lambda \)Ulam ideal

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55)

Cites Work

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• Structural properties of ideals over \(\mathcal{P}_\kappa\lambda\). I.
• Strongly normal ideals on \(\mathcal P_ \kappa \lambda\) and the sup-function
• On the existence of strongly normal ideals over \(P_{\kappa}\lambda\)
• On the existence of large subsets of \([\lambda^{<\kappa}\) which contain no unbounded non-stationary subsets]
• On the existence of skinny stationary subsets
• A direct weakening of normality for filters
• Seminormal λ-generated ideals on P_κλ
• Weakly normal closures of filters on P_κλ
• On skinny stationary subsets of
• Some combinatorial problems concerning uncountable cardinals

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