I was told that while M, class of all Lebesgue measurable set is complete, sigma field generated by all open set B is not. Can someone give me an example of interval which is inside M yet is not included in B? Thank you.
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$\begingroup$ Look at the subsets of the Cantor set. $\endgroup$– user2345215Nov 22, 2014 at 16:03
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$\begingroup$ thank you for your answer. because of that, I manage to find this discussion. math.stackexchange.com/questions/206618/… $\endgroup$– mohleeNov 22, 2014 at 16:17
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