The extent of strength in the club filters

DOI10.1007/BF02785581zbMath0946.03056MaRDI QIDQ1969004

Yo Matsubara, Douglas R. Burke

Publication date: 22 June 2000

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

zbMATH Keywords

saturationclub filterprecipitous filtercardinal preservingminimal normal filterpre-saturation

Mathematics Subject Classification ID

Other combinatorial set theory (03E05)

Related Items (7)

NOWHERE PRECIPITOUSNESS OF THE NON-STATIONARY IDEAL OVER ${\mathcal P}_\kappa \lambda$ ⋮ Non-saturation of the nonstationary ideal on \(P _{\kappa }(\lambda )\) in case \(\kappa \leq \mathrm{cf}(\lambda ) < \lambda \) ⋮ DENSE IDEALS AND CARDINAL ARITHMETIC ⋮ Splitting \({\mathcal P}_\kappa \lambda\) into maximally many stationary sets ⋮ Fat sets and saturated ideals ⋮ Nonregular ideals ⋮ Mutually stationary sequences of sets and the non-saturation of the non-stationary ideal on \(P_x(\lambda)\)

Cites Work

• Two cardinal versions of diamond
• Martin's maximum, saturated ideals, and nonregular ultrafilters. I
• Iterated forcing and normal ideals on \(\omega _ 1\)
• Proper forcing
• On the size of closed unbounded sets
• Woodin cardinals and presaturated ideals
• Some results on the nonstationary ideal
• SQUARES, SCALES AND STATIONARY REFLECTION
• Splitting Strongly Almost Disjoint Families
• Splitting P_κλ into stationary subsets
• Saturation Properties of Ideals in Generic Extensions. I
• On splitting stationary subsets of large cardinals
• Nowhere precipitousness of some ideals
• Less saturated ideals
• Ideals and combinatorial principles
• A very weak square principle
• Collapsing successors of singulars
• The entire NS ideal on can be precipitous
• Potent Axioms
• Mutually stationary sequences of sets and the non-saturation of the non-stationary ideal on \(P_x(\lambda)\)

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