Give an example of a Borel measurable function f from R to R such that there does not exist a set B ? R such that |R B| = 0 and f|_B is a continuous function on B.
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A function \( f: \mathbb{R} \to \mathbb{R} \) is Borel measurable if the preimage of any Borel set is a Borel set. Show more…
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