Some results on consecutive large cardinals

DOI10.1016/0168-0072(83)90051-9zbMath0548.03030OpenAlexW2063833386MaRDI QIDQ799670

Arthur W. Apter

Publication date: 1983

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(83)90051-9

zbMATH Keywords

sequences of consecutive large cardinals

Mathematics Subject Classification ID

Large cardinals (03E55)

Related Items (14)

Some results on consecutive large cardinals. II: Applications of Radin forcing ⋮ An AD-like model ⋮ Prikry-type forcing and the set of possible cofinalities ⋮ Remarks on Gitik's model and symmetric extensions on products of the Lévy collapse ⋮ Large cardinal structures below ℵ_ω ⋮ A remark on the tree property in a choiceless context ⋮ Consecutive singular cardinals and the continuum function ⋮ Combinatorial properties and dependent choice in symmetric extensions based on Lévy collapse ⋮ Level by level inequivalence beyond measurability ⋮ Identity crises and strong compactness ⋮ Making all cardinals almost Ramsey ⋮ Laver indestructibility and the class of compact cardinals ⋮ On the consistency strength of two choiceless cardinal patterns ⋮ On a problem of Foreman and Magidor

Cites Work

• Unnamed Item
• Unnamed Item
• Infinitary combinatorics and the axiom of determinateness
• Making the supercompactness of \(\nu\) indestructible under \(\nu\)-directed closed forcing
• Measurable cardinals and the continuum hypothesis
• \(\omega_1\) can be measurable
• A model of set-theory in which every set of reals is Lebesgue measurable
• Iterated Cohen extensions and Souslin's problem
• Successive large cardinals
• Successors of singular cardinals and measurability revisited
• Powers of regular cardinals
• Comparison of the axioms of local and universal choice

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