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edited Jan 19, 2022 at 5:46

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Is the point-wise limit of simple functions a measurable function?

Let $X$ and $Y$ be topological spaces. By a simple function $\phi: X\to Y$ we mean a finite range Borel measurable function.

Q. Is the point-wise limit of a sequence of simple functions a Borel measurable function?

measure-theory lebesgue-measure borel-sets

asked Jan 17, 2022 at 12:39

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