Borel isomorphism

Definition 0.1.

A Borel isomorphism between two Borel spaces $(X;\mathbb{B}(X))$ and $(Y;\mathbb{B}(Y))$ is defined as the bijection $\iota:(X;\mathbb{B}(X))\cong(Y;\mathbb{B}(Y))$ .

References

1 M.R. Buneci. 2006., http://www.utgjiu.ro/math/mbuneci/preprint/p0024.pdfGroupoid 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