In $\mathbb{R} ^{n}$, regarding the Lebesgue measure, is every null set a subset of an uncountable null set?
And is there a simple proof for that?
2026-04-11 20:12:21.1775938341
Is every null set a subset of an uncountable null set?
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The Cantor set is an uncountable null set. If $E$ is any null set then $E \subset E \cup C$ and $E \cup C$ is an uncountbale null set.