IDEAL INDEPENDENT FAMILIES AND THE ULTRAFILTER NUMBER

DOI10.1017/jsl.2019.14zbMath1487.03058OpenAlexW3119284952MaRDI QIDQ5000267

Jonathan Cancino, Osvaldo Guzmán González, Arnold W. Miller

Publication date: 12 July 2021

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

Full work available at URL: https://doi.org/10.1017/jsl.2019.14

zbMATH Keywords

ultrafiltersideal independent familiesindpendent families

Mathematics Subject Classification ID

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

Cites Work

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• There may be simple \(P_{\aleph _ 1}\)- and \(P_{\aleph _ 2}\)-points and the Rudin-Keisler ordering may be downward directed
• CON(\(\mathfrak u>\mathfrak i\))
• Diamond principles in Cichoń's diagram
• Free sequences in \({\mathscr{P}}( \omega) /\mathrm{fin}\)
• Combinatorial Cardinal Characteristics of the Continuum
• Products of Infinitely Many Perfect Trees
• Zapping Small Filters
• Parametrized $\diamondsuit $ principles
• Combinatorics of dense subsets of the rationals
• Cardinal Invariants of Analytic P-Ideals

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