Sorry if my english is bad, I'll try my best :)

So: Prove that if A (in R^n) is measurable, there is an open set G (in R^n) so that A includes to G and and the Lebesgue measure m*(G\A)=0.

How do you do that?

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- Feb 3rd 2013, 03:10 AMLeksiusMeasure problem.
Sorry if my english is bad, I'll try my best :)

So: Prove that if A (in R^n) is measurable, there is an open set G (in R^n) so that A includes to G and and the Lebesgue measure m*(G\A)=0.

How do you do that?