# A Measurable Function not Borel Measurable

1. Mar 15, 2009

### 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?

2. Mar 15, 2009

### dvs

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

3. Mar 15, 2009

thanks