Regular Cardinals in Models of ZF

DOI10.2307/1999783zbMath0589.03033OpenAlexW4232672177MaRDI QIDQ3717041

M. B. Gitik

Publication date: 1985

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1999783

zbMATH Keywords

regular cardinalmodels of set theoryalmost huge cardinalcountable model of ZFCnonlimit ordinals

Mathematics Subject Classification ID

Large cardinals (03E55) Models of arithmetic and set theory (03C62)

Related Items (12)

Some results on consecutive large cardinals. II: Applications of Radin forcing ⋮ On a problem inspired by determinacy ⋮ A class of higher inductive types in Zermelo‐Fraenkel set theory ⋮ Controlling the number of normal measures at successor cardinals ⋮ Consecutive singular cardinals and the continuum function ⋮ How many normal measures can ℵω₁+1 carry? ⋮ Some new upper bounds in consistency strength for certain choiceless large cardinal patterns ⋮ Making all cardinals almost Ramsey ⋮ A new characterization of supercompactness and applications ⋮ The calculus of partition sequences, changing cofinalities, and a question of Woodin ⋮ On the class of measurable cardinals without the axiom of choice ⋮ The strength of choiceless patterns of singular and weakly compact cardinals

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