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Lebesgue measure, prooving that a specific open set exists

  1. Feb 15, 2015 #1
    1. The problem statement, all variables and given/known data

    oppg.png

    2. Relevant equations


    3. The attempt at a solution
    I have managed to solve it for the finite case, where the masure is less than infinity. But how do I solve it if the ,measure if the measure of E is infinite?
     
  2. jcsd
  3. Feb 15, 2015 #2

    Dick

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    Solve it on intersections of intervals with E with small enough values of epsilon that you can sum them all and get the original epsilon.
     
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