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Math Help - measure theory-Lebesgue measure

  1. #1
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    measure theory-Lebesgue measure

    please consider the problem below and find me the answer...


    Let m* be an Lebesgue outer measure on a set X.Show that a subset E of X is measurable if and only if for each epsilon>0 there exist a measurable set F such that F is a subset of E and m*(E/F)<epsilon.
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  2. #2
    Super Member girdav's Avatar
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    Re: measure theory-Lebesgue measure

    This can help you (first deal with the case E bounded).
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