Functionally \(\sigma\)-discrete mappings and a generalization of Banach’s theorem. (English) Zbl 1314.54011
Author’s abstract: We present \(\sigma\)-strongly functionally discrete mappings which expand the class of \(\sigma\)-discrete mappings and generalize Banach’s theorem on analytically representable functions.
Reviewer: Ryszard Pawlak (Łódź)
MSC:
| 54C50 | Topology of special sets defined by functions |
| 26A21 | Classification of real functions; Baire classification of sets and functions |
| 54H05 | Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) |
Keywords:
\(\sigma\)-discrete mapping; \(\sigma\)-strongly functionally discrete mapping; Lebesgue classification of functions; Borel classification of setsReferences:
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