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- Thread starter cerenacerenb
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Any idea how to takle this proof?

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HallsofIvy

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A set is measurable if and only if both outer and inner measure are finite and equal. The inner measure is non-negative and less than the outer measure so since the outer measure is finite, so is the inner measure. That means that, since this set is not measurable, the inner measure must be less than the outer measure. What if O is an open set, containing E, that is

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