The nonstationary ideal on \(\aleph _ 2\)

DOI10.1007/BF02760629zbMath0563.03016MaRDI QIDQ1057260

M. B. Gitik

Publication date: 1984

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

zbMATH Keywords

measurable cardinalprecipitous idealprecipitous filter

Mathematics Subject Classification ID

Large cardinals (03E55) Set-theoretic model theory (03C55) Model-theoretic forcing (03C25)

Related Items (9)

Changing cofinalities and the nonstationary ideal ⋮ Some results on the nonstationary ideal ⋮ Less saturated ideals ⋮ Minimal collapsing extensions of models of ZFC ⋮ On precipitousness of the nonstationary ideal over a supercompact ⋮ IDEAL PROJECTIONS AND FORCING PROJECTIONS ⋮ Cardinal preserving ideals ⋮ On singular stationarity. I: Mutual stationarity and ideal-based methods ⋮ On the \({\mathbb{I}}\)-condition

Cites Work

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• On the \({\mathbb{I}}\)-condition
• Iterated forcing and changing cofinalities
• Proper forcing
• The core model for sequences of measures. I
• Forcing closed unbounded sets
• Precipitous ideals
• A new class of order types
• Adding a closed unbounded set
• Boolean extensions and measurable cardinals

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