The approachability ideal without a maximal set

DOI10.1016/j.apal.2018.10.004OpenAlexW2964059081WikidataQ129025640 ScholiaQ129025640MaRDI QIDQ1634527

John Krueger

Publication date: 18 December 2018

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.04772

zbMATH Keywords

approachability idealside conditionsadequate setpartial square sequence

Mathematics Subject Classification ID

Consistency and independence results (03E35) Large cardinals (03E55) Other combinatorial set theory (03E05) Other aspects of forcing and Boolean-valued models (03E40)

Cites Work

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• Mitchell's theorem revisited
• Reflecting stationary sets and successors of singular cardinals
• Forcing \(\square_{\omega_1}\) with finite conditions
• Two applications of finite side conditions at \(\omega _2\)
• QUOTIENTS OF STRONGLY PROPER FORCINGS AND GUESSING MODELS
• 𝐼[𝜔₂ can be the nonstationary ideal on 𝐶𝑜𝑓(𝜔₁)]
• On splitting stationary subsets of large cardinals
• Forcing with adequate sets of models as side conditions
• Coherent adequate sets and forcing square

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