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Borel isomorphism (Definition)
Definition 0.1   A Borel isomorphism between two Borel spaces $(X; \mathbb{B}(X))$ and $(Y; \mathbb{B}(Y))$ is defined as the bijection $\iota: (X; \mathbb{B}(X)) \cong (Y; \mathbb{B}(Y))$.

Bibliography

1
M.R. Buneci. 2006., Groupoid 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.



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Cross-references: Borel spaces

This is version 1 of Borel isomorphism, born on 2009-02-04.
Object id is 487, canonical name is BorelIsomorphism.
Accessed 349 times total.

Classification:
Physics Classification: 00. (GENERAL)
 02. (Mathematical methods in physics)
 03. (Quantum mechanics, field theories, and special relativity )
 03.65.Fd (Algebraic methods )
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