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Measure theory

  1. Sep 5, 2010 #1
    1. The problem statement, all variables and given/known data

    Show that if a set E has positive outer measure, then there is a
    bounded subset of E that also has positive outer measure

    2. Relevant equations

    We can take an intersection of E with some of its covering sets. This will
    give us a subset of E, but how can we be sure that it is bounded?


    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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