An example of a Lebesgue measurable set which is not a Borel set and why?

Asked Sep 17 '19 at 14:16

Active Sep 17 '19 at 14:58

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Could anyone please give me an example of a Lebesgue measurable set which is not a Borel set and explain to me why?

I guess it is the Cantor-Lebesgue set, but I am unable to say why. Could anyone help me please?

edited Sep 17 '19 at 14:58

J. W. Tanner

asked Sep 17 '19 at 14:16

Intuition

What's Cantor-Lebesgue set? – Wojowu Sep 17 '19 at 14:22
@Wojowu. It IS a duplicate. – DanielWainfleet Sep 17 '19 at 15:44
The Cantor set is defined as the intersection of a countable collection of closed sets, so it is a Borel set. – Paul Sinclair Sep 17 '19 at 23:48

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