Decompositions of Borel bimeasurable mappings between complete metric spaces

Abstract

We prove that every Borel bimeasurable mapping can be decomposed to a $\sigma$-discrete family of extended Borel isomorphisms and a mapping with a $\sigma$-discrete range.

Keywords

• Decompositions
• Borel
• bimeasurable
• mappings
• between
• complete
• metric
• spaces