Equivalence of differentiable mappings and analytic mappings

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Analytic Mappings on Hyperfinite Sets

Let S and T be hyperfinite sets in an N]-saturated nonstandard universe. The following are equivalent: m 1*1 ~ l (l) rff ~ • • (ii) There is a bijection from 5 onto T whose graph is Borel (over the internal subsets of S x T). This follows from somewhat more general results about analytic partial functions on hyperfinite sets, the proofs of which use Choquet's theorem on the capacitibility of an...

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ژورنال

عنوان ژورنال: Publications mathématiques de l'IHÉS

سال: 1981

ISSN: 0073-8301,1618-1913

DOI: 10.1007/bf02698691