Borel isomorphism
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.,
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 |