Comparison of the axioms of local and universal choice

DOI10.4064/fm-71-1-43-62zbMath0255.02065OpenAlexW986162294WikidataQ114573847 ScholiaQ114573847MaRDI QIDQ5668477

Ulrich Felgner

Publication date: 1971

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/214318

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50)

Related Items (18)

ON DOUBLE-MEMBERSHIP GRAPHS OF MODELS OF ANTI-FOUNDATION ⋮ Internal approach to external sets and universes. I: Bounded set theory ⋮ Isomorphism property in nonstandard extensions of the \(\mathbf Z\mathbf F\mathbf C\) universe ⋮ Recursively Saturated Models of Set Theory ⋮ Ergodic Undefinability in Set Theory and Recursion Theory ⋮ All uncountable cardinals can be singular ⋮ VARIETIES OF CLASS-THEORETIC POTENTIALISM ⋮ Classes and truths in set theory ⋮ Alpha-theory: An elementary axiomatics for nonstandard analysis ⋮ Model theory of the regularity and reflection schemes ⋮ On Relating Theories: Proof-Theoretical Reduction ⋮ Models of set theory with definable ordinals ⋮ Global and local choice functions ⋮ All uncountable cardinals in the Gitik model are almost Ramsey and carry Rowbottom filters ⋮ MINIMUM MODELS OF SECOND-ORDER SET THEORIES ⋮ A nonconservativity result on global choice ⋮ Expansions of models of ZFC ⋮ Some results on consecutive large cardinals

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