Borel isomorphism
From Encyclopedia of Mathematics
-isomorphism
A one-to-one mapping 
of a space 
into a space 
such that both 
and 
transform Borel sets into Borel sets (cf. Borel set). In the class of Borel subsets of complete separable metric spaces, sets of the same cardinality are Borel isomorphic.
How to Cite This Entry:
Borel isomorphism. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Borel_isomorphism&oldid=16905
Borel isomorphism. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Borel_isomorphism&oldid=16905
This article was adapted from an original article by A.G. El'kin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article