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A Measurable Function not Borel Measurable

 
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Mar15-09, 07:00 PM   #1
 

A Measurable Function not Borel Measurable

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?
 
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Mar15-09, 07:03 PM   #2
dvs
 
Use the characteristic function of a set that's Lebesgue but not Borel.
 
Mar15-09, 10:17 PM   #3
 
Quote by dvs View Post
Use the characteristic function of a set that's Lebesgue but not Borel.
thanks
 
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