Borel isomorphism

Definition 0.1.

A Borel isomorphism between two Borel spacesPlanetmathPlanetmath (X;𝔹(X)) and (Y;𝔹(Y)) is defined as the bijection ι:(X;𝔹(X))(Y;𝔹(Y)).


  • 1 M.R. Buneci. 2006., C*-Algebras., Surveys in Mathematics and its Applications, Volume 1: 71–98.
  • 2 A. Connes.1979. Sur la théorie noncommutative de l’ integration, Lecture Notes in Math., Springer-Verlag, Berlin, 725: 19-14.
Title Borel isomorphism
Canonical name BorelIsomorphism
Date of creation 2013-03-22 18:23:05
Last modified on 2013-03-22 18:23:05
Owner bci1 (20947)
Last modified by bci1 (20947)
Numerical id 5
Author bci1 (20947)
Entry type Definition
Classification msc 54H05
Classification msc 28A05
Synonym one-to-one and onto correspondence
Related topic Bijection