On the existence of -primitives on arbitrary metric spaces
Janina Ewert, Stanislav P. Ponomarev (2003)
Mathematica Slovaca
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Janina Ewert, Stanislav P. Ponomarev (2003)
Mathematica Slovaca
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Pavel Kostyrko (1980)
Mathematica Slovaca
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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 of nonempty open subsets...
Anna Waśko (1985)
Fundamenta Mathematicae
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Ewert, Janina (1994)
International Journal of Mathematics and Mathematical Sciences
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