On the Mitchell and Rudin-Keisler orderings of ultrafilters

DOI10.1016/0168-0072(88)90016-4zbMath0657.03038OpenAlexW2066371732MaRDI QIDQ1110507

M. B. Gitik

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0168-0072(88)90016-4

zbMATH Keywords

ultrafiltersMitchell orderRudin-Keisler ordercore models

Mathematics Subject Classification ID

Large cardinals (03E55) Axiomatics of classical set theory and its fragments (03E30) Other combinatorial set theory (03E05)

Related Items (8)

Some results on the nonstationary ideal ⋮ Some constructions of ultrafilters over a measurable cardinal ⋮ On \(\kappa\)-compact cardinals ⋮ Strange ultrafilters ⋮ On tall cardinals and some related generalizations ⋮ On measurable cardinals violating the continuum hypothesis ⋮ The strength of the failure of the singular cardinal hypothesis ⋮ On the powersets of singular cardinals in HOD

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• Forcing the failure of CH by adding a real
• On non-minimal p-points over a measurable cardinal
• Ultrafilters over a measurable cardinal
• Strong axioms of infinity and elementary embeddings
• Some applications of iterated ultrapowers in set theory
• Ultrafilters over measurable cardinals

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