Borel and Gamesmanship
نویسندگان
چکیده
منابع مشابه
Borel structures and Borel theories
We show that there is a complete, consistent Borel theory which has no “Borel model” in the following strong sense: There is no structure satisfying the theory for which the elements of the structure are equivalence classes under some Borel equivalence relation and the interpretations of the relations and function symbols are Borel in the natural sense. We also investigate Borel isomorphisms be...
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ing from the proof given above for Gaboriau-Popa we obtain theorems such as: Theorem 2.10 Let (X, d) be a complete, separable metric space equipped with an atomless Borel probability measure μ. Suppose Γ acts ergodically by measure preserving transformations on (X,μ) and the action on (X, d) is expansive. Let (Et)0<t<1 be a collection of distinct countable Borel equivalence relations on X with:...
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ژورنال
عنوان ژورنال: Asian Journal of Mathematics
سال: 2004
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.2004.v8.n4.a15