# A Measurable Function not Borel Measurable

#### zling110

Most books have the famous example for a Lebesgue measurable set that is not Borel measurable. However, I am trying to find a Lebesgue measurable function that is not Borel measurable. Can anyone think of an example?

#### dvs

Use the characteristic function of a set that's Lebesgue but not Borel.

#### zling110

Use the characteristic function of a set that's Lebesgue but not Borel.
thanks

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