Local saturation and square everywhere

DOI10.1142/S0219061320500191zbMATH Open1473.03027arXiv1901.02821OpenAlexW3005577408MaRDI QIDQ4988829

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Publication date: 19 May 2021

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

Abstract: We show that it is consistent relative to a huge cardinal that for all infinite cardinals $kappa$, $squar{e}_{k}appa$ holds and there is a stationary $Ssubseteqkapp{a}^{+}$ such that $mathrm{NS}_{kapp{a}^{+}}estrictionS$ is $kapp{a}^{++}$-saturated.

Full work available at URL: https://arxiv.org/abs/1901.02821

zbMATH Keywords

squaresaturated idealnonstationary ideal

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05)

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Related Items (3)

Ideals and combinatorial principles ⋮ Global unit squares and local unit squares ⋮ Mutually stationary sequences of sets and the non-saturation of the non-stationary ideal on \(P_x(\lambda)\)

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