A null set of Measure 0

  • Thread starter Bachelier
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  • #1
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Does it also imply that the set is dense?
 

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  • #2
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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...
 
  • #3
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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...

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
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thanks
 

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