I've read that a disadvantage of Lebesgue outer measure is that we can have disjoint sets $A$ and $B$ s.t. $m(A \bigcup B) \neq m(A) + m(B)$, but so far I haven't found any examples... Any examples?, and how is Lebesgue outer measure really different from Lebesgue measure?
2026-04-04 11:58:18.1775303898
Example of disjoint sets that are not additive in outer measure
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