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Can I read Decompositions of Borel bimeasurable mappings between complete metric spaces on EtoBox?
Decompositions of Borel bimeasurable mappings between complete metric spaces by Petr Holický is a Mathematics article available to read on EtoBox.
What is Decompositions of Borel bimeasurable mappings between complete metric spaces about?
We prove that every Borel bimeasurable mapping can be decomposed to a σ -discrete family of extended Borel isomorphisms and a mapping with a σ -discrete range. We get a new proof of a result containing the Purves and the Luzin-Novikov theorems as a byproduct. Assuming an extra assumption on f , or that Fleissner's axiom (SCω 2 ) holds, we characterize extended Borel bimeasurable mappings as those extended Borel measurable ones which may be decomposed to countably many extended Borel isomorphisms and a mapping with a σ -discrete range.
Who reads Decompositions of Borel bimeasurable mappings between complete metric spaces?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Petr Holický
- Publisher
- Elsevier Science; Elsevier ; Elsevier BV (ISSN 0166-8641)
- Published
- 2008
- Language
- EN
- Field
- Mathematics (Physical Sciences)