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I'm looking for a subset $A$ of $\mathbb R$ such that $A$ is a nowhere dense set with positive Lebesgue measure.

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    $\begingroup$ The canonical answer to this question is Fat Cantor Set $\endgroup$
    – t.b.
    Oct 17, 2011 at 10:28

1 Answer 1

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The example you are looking for is given in this page

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