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zling110
Mar15-09, 07:00 PM
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
Mar15-09, 07:03 PM
Use the characteristic function of a set that's Lebesgue but not Borel.

zling110
Mar15-09, 10:17 PM
Use the characteristic function of a set that's Lebesgue but not Borel.

thanks