2014Fundamenta MathematicaeOpen access

Consistency of the Silver dichotomy in generalised Baire space

Sy‐David Friedman

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Abstract

Silver's fundamental dichotomy in the classical theory of Borel reducibility states that any Borel (or even co-analytic) equivalence relation with uncountably many classes has a perfect set of classes. The natural generalisation of this to the generalised

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Silver's fundamental dichotomy in the classical theory of Borel reducibility states that any Borel (or even co-analytic) equivalence relation with uncountably many classes has a perfect set of classes. The natural generalisation of this to the generalised

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Silver's fundamental dichotomy in the classical theory of Borel reducibility states that any Borel (or even co-analytic) equivalence relation with uncountably many classes has a perfect set of classes. The natural generalisation of this to the generalised

Key concepts: Mathematics, Equivalence relation, Borel equivalence relation, Baire space, Polish space, Borel set, Baire measure, Baire category theorem

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