HL ideals and Sacks indestructible ultrafilters

DOI10.1016/j.apal.2023.103326arXiv2110.07945OpenAlexW3205008419MaRDI QIDQ6073904

Osvaldo Guzmán González, Michael Hrušák, David Chodounský

Publication date: 12 October 2023

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

Full work available at URL: https://arxiv.org/abs/2110.07945

zbMATH Keywords

idealultrafilterSacks forcingHalpern-Läuchli

Mathematics Subject Classification ID

Descriptive set theory (03E15) Consistency and independence results (03E35) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17)

Cites Work

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• Reaping Numbers of Boolean Algebras
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• Every maximal ideal may be Katětov above of all 𝐹_{𝜎} ideals
• Cardinal Invariants of Analytic P-Ideals
• Diagonalising an ultrafilter and preserving a $P$-point
• The problem of Horn and Tarski
• A Partition Theorem

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