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A null set of Measure 0

  1. Feb 11, 2013 #1
    Does it also imply that the set is dense?
     
  2. jcsd
  3. Feb 11, 2013 #2

    micromass

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    What is a null set? Isn't it just a synonym for a set of measure 0?

    And what is your question? Are you asking whether all sets of measure 0 are dense? The empty set would be a counterexample...
     
  4. Feb 11, 2013 #3
    and so is the Cantor set I assume. I used to think they are both the same. They are indeed 2 different notions.

    Now the Cantor set is uncountable. right?
     
  5. Feb 11, 2013 #4

    micromass

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    Right!
     
  6. Feb 12, 2013 #5
    thanks
     
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