Theorem 9. The following statements regarding the set E are equivalent: (i) E is measurable. (ii) For all &> 0,30- an open set, OE such that m* (OE) ≤ε. 00 (iii) 3G, a Gs-set, G2E such that m* (GE) = 0, (A set G is said to be Gs if G = G₁, i=1 each G is an open set.)
Theorem 9. The following statements regarding the set E are equivalent: (i) E is measurable. (ii) For all &> 0,30- an open set, OE such that m* (OE) ≤ε. 00 (iii) 3G, a Gs-set, G2E such that m* (GE) = 0, (A set G is said to be Gs if G = G₁, i=1 each G is an open set.)
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 6TFE: Label each of the following statements as either true or false. Let R be a relation on a nonempty...
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