Lebesgue outer measure regularity
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In $mathbb{R}$ , the outer regularity of Lebesgue measure gives $m^*(A)=inf{m(A)mid E text{ is open and } A subset E}$ . Can we replace $E$ as measurable sets instead of open sets? I am not able to prove it. Looking for some hints. Thanks in advance.
measure-theory lebesgue-measure outer-measure
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edited Jan 10 at 16:22
amWhy
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asked Jan 31 '17 at 15:10
Arindam Arindam
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