Let $f:\mathbb{R} \rightarrow \mathbb{R}$ be a Borel (or just Lebesgue measurable) function. Let $E$ be a Borel set (or measurable set). Is $f(E)$ is a measurable set? Some additional conditions may be imposed to $f$, such as right continuity and monotonicity.
2026-04-24 16:55:27.1777049727
Is $f(E)$ a measurable set?
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