Let $E$ and $F$ be two negligible sets, is the following sum always a negligible set?
$E + F = \{x + y : x ∈ E, y ∈ F\}$
I tend to say no but I can't find any counter exemple
2026-05-16 00:51:04.1778892664
Is the sum of two negligible sets always a negligible set?
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In general no. For instance, if $C$ is the Cantor set, then $C+C=[0,2]$.