Descriptive set theory over hyperfinite sets
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Publication:3478399
DOI10.2307/2274812zbMath0701.03023OpenAlexW4229974629MaRDI QIDQ3478399
Kenneth Kunen, Arnold W. Miller, H. Jerome Keisler, Steven C. Leth
Publication date: 1989
Published in: The Journal of Symbolic Logic (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2274812
Borel hierarchyseparation propertyprojective hierarchyuniformization propertycountably determined sets and functions
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The structure of graphs all of whose Y-sections are internal sets ⋮ Meager sets on the hyperfinite time line ⋮ Internal approach to external sets and universes. I: Bounded set theory ⋮ Countably determined sets and a conjecture of C. W. Henson ⋮ Internal approach to external sets and universes. II: External universes over the universe of bounded set theory ⋮ Isomorphism property in nonstandard extensions of the \(\mathbf Z\mathbf F\mathbf C\) universe ⋮ Lusin-Sierpiński index for the internal sets ⋮ Uniqueness, collection, and external collapse of cardinals in IST and models of Peano arithmetic ⋮ Internal approach to external sets and universes. III. Partially saturated universes ⋮ Cuts in hyperfinite time lines ⋮ U-Lusin sets in hyperfinite time lines ⋮ U-monad topologies of hyperfinite time lines ⋮ Analytic Mappings on Hyperfinite Sets ⋮ Kunen and set theory ⋮ Hyperfinite transversal theory. II ⋮ Louveau's theorem for the descriptive set theory of internal sets ⋮ Π₁¹ sets of unbounded Loeb measure ⋮ From discrete to continuous time ⋮ Every Borel function is monotone Borel ⋮ Strong counterexamples to Borel hyperdeterminacy ⋮ On the reducibility of monadic equivalence relations ⋮ Graphs with \(\boldsymbol\Pi^ 0_ 1(\kappa)\) \(Y\)-sections ⋮ Vanishing Borel sets ⋮ Some results about Borel sets in descriptive set theory of hyperfinite sets
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