-ULTRAFILTERS IN THE RATIONAL PERFECT SET MODEL

DOI10.1017/JSL.2022.81MaRDI QIDQ6203551

Jonathan Cancino-Manríquez

Publication date: 5 April 2024

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

zbMATH Keywords

ultrafilterrapid ultrafiltersummable idealrational perfect set forcing\(I\)-ultrafilteranalytic \(p\)-idealRudin-Blass ordering

Mathematics Subject Classification ID

Consistency and independence results (03E35) Axiomatics of classical set theory and its fragments (03E30)

Cites Work

• Near coherence of filters. III: A simplified consistency proof
• Near coherence of filters. I: Cofinal equivalence of models of arithmetic
• There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed
• Analytic ideals and their applications
• $F_σ$-ideals and $ω_1 ω^*_1$-gaps in the Boolean algebras Ρ(ω)/I.
• The Rudin-Blass ordering of ultrafilters
• Ultrafilters on ω
• Every maximal ideal may be Katětov above of all 𝐹_{𝜎} ideals
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