I have problems with this exercise
Let $V\subseteq{}(0,1) $ the set of Vitali. Suppose that $A \in \mathcal{B}_L$ such that $A \subseteq{V}$. Prove that $\ell(A) = 0$
I need any hint
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manuel cerda
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@manuelcerda: Hint: The trick tp the solution pointed out by Kaira is to see that (in your notation) the sets $A+r$ (where $r$ ranges over all rational numbers in (-1,1)$ are disjoint. – Mittens Aug 06 '21 at 18:05