http://homepages.math.uic.edu/~rosendal/PapersWebsite/mathreslett.pdf WebAbstract. We prove that the isomorphism relation for separable C∗-algebras, the rela-tions of complete and n-isometry for operator spaces, and the relations of unital n-order isomorphisms of operator systems, are Borel reducible to the orbit equivalence relation of a Polish group action on a standard Borel space. 1. Introduction
[2102.12371] Torsion-Free Abelian Groups are Borel Complete
In mathematics, a Borel isomorphism is a measurable bijective function between two measurable standard Borel spaces. By Souslin's theorem in standard Borel spaces (a set that is both analytic and coanalytic is necessarily Borel), the inverse of any such measurable bijective function is also measurable. Borel … See more A measurable space that is Borel isomorphic to a measurable subset of the real numbers is called a Borel space. See more • Federer–Morse theorem See more • S. K. Berberian (1988) Borel Spaces from University of Texas • Richard M. Dudley (2002) Real Analysis and Probability, 2nd edition, page 487. See more WebIn this note we present a very elementary proof of the Borel isomorphism theorem (Corollary 6). The traditional and more well known proof of this theorem uses the first separation principle for analytic sets. A proof of this avoiding the first separation principle is also known ( [1, p. 450]). Our proof is perhaps the simplest. courtyard by marriott marietta ga
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WebFeb 6, 2024 · Borel isomorphism and absolute purity. Frédéric Déglise, Jean Fasel, Fangzhou Jin, Adeel Khan. We prove absolute purity for the rational motivic sphere … 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 … WebIn mathematics, a standard Borel space is the Borel space associated to a Polish space. Discounting Borel spaces of discrete Polish spaces, there is, ... is an isomorphism (that is, the inverse mapping is also measurable). This follows from Souslin's theorem, as a … brian shrewsbury