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Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.

1 vote
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198 views

Existence of a Borel measurable function below any positive function

Let $f\colon \mathbb R\to (0,\infty)$ be a function taking positive values. Does there exist a Borel measurable function $g\colon \mathbb R\to (0,\infty)$ taking positive values as well such that $g(x …