A hierarchy of Ramsey cardinals

DOI10.1016/0168-0072(90)90028-ZzbMath0719.03025WikidataQ127343007 ScholiaQ127343007MaRDI QIDQ2639851

Feng Qi

Publication date: 1990

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

zbMATH Keywords

measurable cardinalsabsolutenessidealscore modelRamsey cardinalsHierarchies of large cardinal properties

Mathematics Subject Classification ID

Inner models, including constructibility, ordinal definability, and core models (03E45) Large cardinals (03E55) Other combinatorial set theory (03E05)

Related Items (12)

Ramsey-like operators ⋮ A hierarchy of Ramsey-like cardinals ⋮ In memoriam: James Earl Baumgartner (1943--2011) ⋮ IDEAL OPERATORS AND HIGHER INDESCRIBABILITY ⋮ Higher indescribability and derived topologies ⋮ Greatly Erdős cardinals with some generalizations to the Chang and Ramsey properties ⋮ Countable unions of simple sets in the core model ⋮ Small models, large cardinals, and induced ideals ⋮ GAMES AND RAMSEY-LIKE CARDINALS ⋮ A REFINEMENT OF THE RAMSEY HIERARCHY VIA INDESCRIBABILITY ⋮ Ramsey-like cardinals ⋮ Ramsey-like cardinals II

Cites Work

• A partition calculus in set theory
• The core model
• Ideals over uncountable sets: application of almost disjoint functions and generic ultrapowers
• Ramsey cardinals and constructibility
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