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Sun 27 Jan, 2013 06:53 am
If A⊂R n , x∈R^n n and A is measurable; how to show that x+A is measurable?
Definition: Set E \subset R^n is ( Lebesgue) measurable, if m*(A)=m*(A \cap E) + m*(A \ E). But it is sufficient to show that m*(A)>=m*(A \cap E) + m*(A \ E). -
http://en.wikipedia.org/wiki/Lebesgue_measure#Definition