WebIn the class of Borel subsets of complete separable metric spaces, sets of the same cardinality are Borel isomorphic. How to Cite This Entry: Borel isomorphism. WebApr 23, 2013 · A Borel system consists of a measurable automorphism of a standard Borel space. We consider Borel embeddings and isomorphisms between such systems …
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WebAug 20, 2010 · A Borel system consists of a measurable automorphism of a standard Borel space. We consider Borel embeddings and isomorphisms between such systems … WebApr 11, 2024 · Formulation. By definition, if C is a category in which each object has finitely many automorphisms, the number of points in is denoted by # = # (), with the sum running over representatives p of all isomorphism classes in C. (The series may diverge in general.) The formula states: for a smooth algebraic stack X of finite type over a finite … pasolini citations
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WebJan 25, 2013 · In this talk I'll survey some of this history and describe efforts (joint with Su Gao) to understand isomorphism on the class of rank-1 measure-preserving transformations. Almost every measure-preserving transformation is rank-1 and it was recently shown (non-constructively) that there is a Borel description of the isomorphism … WebFeb 6, 2024 · Request PDF Borel isomorphism and absolute purity We prove absolute purity for the rational motivic sphere spectrum. The main ingredient is the construction of … WebFeb 24, 2024 · Download PDF Abstract: We prove that the Borel space of torsion-free Abelian groups with domain $\omega$ is Borel complete, i.e., the isomorphism relation on this Borel space is as complicated as possible, as an isomorphism relation. This solves a long-standing open problem in descriptive set theory, which dates back to the seminal … pasolini cinema