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Positive measure

  1. Apr 25, 2010 #1
    1. The problem statement, all variables and given/known data
    Suppose that if k is a measurable function and {x : k(x) > 0} has a positive measure, then {x : k(x) >= p} has positive measure for some p > 0

    2. Relevant equations
    Lebesgue measure

    3. The attempt at a solution
    What is positive measure? is it just another word for measurable? Can I have some hint on how to attack this problem?

    Thank you.
  2. jcsd
  3. Apr 26, 2010 #2

    i just need hint.

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