On the $\omega $-primitive

Zbigniew Duszynski; Zbigniew Grande; Stanislav P. Ponomarev

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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...

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Displaying similar documents to “On the ω -primitive”

On the existence of ω -primitives on arbitrary metric spaces

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Displaying similar documents to “On the $ω$ -primitive”

On the existence of $ω$ -primitives on arbitrary metric spaces

On functions with the set of discontinuity points belonging to some $s i g m a$ -ideal