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Borel isomorphism

(Definition)

Definition 0.1. A Borel isomorphism between two Borel spaces (X; 𝔹(X)) and (Y ; 𝔹(Y )) is defined as the bijection ι : (X; 𝔹(X))∼=(Y ; 𝔹(Y )).

References

[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.
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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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