Displaying similar documents to “On the existence of ω -primitives on arbitrary metric spaces”

On the ω -primitive

Zbigniew Duszynski, Zbigniew Grande, Stanislav P. Ponomarev (2001)

Mathematica Slovaca

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When are Borel functions Baire functions?

M. Fosgerau (1993)

Fundamenta Mathematicae

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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...