Geodesic
When are Borel functions Baire functions?
Fundamenta Mathematicae, Tome 143 (1993) no. 2, pp. 137-152 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The following two theorems give the flavour of what will be proved. Theorem. Let Y be a complete metric space. Then the families of first Baire class functions and of first Borel class functions from [0,1] to Y coincide if and only if Y is connected and locally connected.} Theorem. Let Y be a separable metric space. Then the families of second Baire class functions and of second Borel class functions from [0,1] to Y coincide if and only if for all finite sequences $U_1,...,U_q$ of nonempty open subsets of Y there exists a continuous function ϕ:[0,1] → Y such that $ ϕ^{-1}(U_i) ≠Ø$ for all i ≤ q.
DOI : 10.4064/fm-143-2-137-152

M. Fosgerau 1

1 
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M. Fosgerau. When are Borel functions Baire functions?. Fundamenta Mathematicae, Tome 143 (1993) no. 2, pp. 137-152. doi: 10.4064/fm-143-2-137-152

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