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Determinacy and Jónsson cardinals in L
Journal of Symbolic Logic 79 (4):1184-1198 (2014)
Abstract
Assume ZF + AD +V=L and letκ< Θ be an uncountable cardinal. We show thatκis Jónsson, and that if cof = ω thenκis Rowbottom. We also establish some other partition properties.Author's Profile
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Citations of this work
Ordinal definability and combinatorics of equivalence relations.William Chan - 2019 - Journal of Mathematical Logic 19 (2):1950009.
Cardinality of wellordered disjoint unions of quotients of smooth equivalence relations.William Chan & Stephen Jackson - 2021 - Annals of Pure and Applied Logic 172 (8):102988.
A premouse inheriting strong cardinals from V.Farmer Schlutzenberg - 2020 - Annals of Pure and Applied Logic 171 (9):102826.
More definable combinatorics around the first and second uncountable cardinals.William Chan, Stephen Jackson & Nam Trang - 2023 - Journal of Mathematical Logic 23 (3).
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