Non-saturation of the nonstationary ideal on \(P _{\kappa }(\lambda )\) in case \(\kappa \leq \mathrm{cf}(\lambda ) < \lambda \)

DOI10.1007/S00153-012-0270-2zbMath1252.03106OpenAlexW1968613132MaRDI QIDQ412069

Pierre Matet

Publication date: 3 May 2012

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00153-012-0270-2

zbMATH Keywords

saturationmutually stationary sets\(P_\kappa(\lambda)\)game ideal

Mathematics Subject Classification ID

Other combinatorial set theory (03E05)

Related Items (1)

Ideals on \({P_{\kappa}(\lambda)}\) associated with games of uncountable length

Cites Work

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• Two cardinal versions of diamond
• Game ideals
• The extent of strength in the club filters
• Splitting \({\mathcal P}_\kappa \lambda\) into maximally many stationary sets
• The Magidor function and diamond
• Non-saturation of the non-stationary ideal on P _κ (λ) with λ of countable cofinality
• Mutually stationary sequences of sets and the non-saturation of the non-stationary ideal on \(P_x(\lambda)\)

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