Let $E=[0,1]$. Show that Lebesgue outer measure on $E$ is not additive even for the finite family of pairwise disjoint sets.
I can't think about any example where only strict subadditivity holds. Is this even possible?
2026-05-13 17:46:16.1778694376
Show that Lebesgue outer measure is not additive even for the finite family of pairwise disjoint sets
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