I'm looking for a subset $A$ of $\mathbb R$ such that $A$ is a nowhere dense set with positive Lebesgue measure.
Nowhere dense set with positive Lebesgue measure
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real-analysis
measure-theory
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9The canonical answer to this question is *[Fat Cantor Set](http://en.wikipedia.org/wiki/Smith-Volterra-Cantor_set)* – 2011-10-17
1 Answers
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The example you are looking for is given in this page