Is a Measure 0 Null Set Also Dense?

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Does it also imply that the set is dense?
 
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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...
 
micromass said:
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?
 
Bachelier said:
Now the Cantor set is uncountable. right?

Right!
 
thanks
 

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