Theorem 9. The following statements regarding the set E are equivalent: (i) E is measurable. (ii) For all ɛ> 0,30 - an open set, 02 E such that m' (O – E) < . (iii) 3G, a Gs-set , G2 E such that m* (G – E) = 0, (A set G is said to be Gs if G = N G;, i=1 each G is an open set.) * (E

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