The entire NS ideal on can be precipitous

DOI10.2307/2275633zbMath0941.03051OpenAlexW2117515348MaRDI QIDQ4382466

Noa Goldring

Publication date: 31 July 2000

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2275633

zbMATH Keywords

consistency strengthregular cardinalprecipitous idealsupercompact cardinalclubWoodin cardinalnonstationary idealstrongly NS ideal

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05) Set-theoretic model theory (03C55)

Related Items (6)

The nonstationary ideal on \(P_\kappa (\lambda )\) for \(\lambda \) singular ⋮ Local weak presaturation of the strongly non‐stationary ideal ⋮ The extent of strength in the club filters ⋮ On the existence of skinny stationary subsets ⋮ Ineffability of \(\mathcal{P}_{\kappa} \lambda\) for \(\lambda\) with small cofinality ⋮ Club guessing sequences and filters

Cites Work

• Martin's maximum, saturated ideals, and nonregular ultrafilters. I
• Woodin cardinals and presaturated ideals
• Countable approximations and Löwenheim-Skolem theorems

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