/sci/ - Science & Math

>>12548285
Give it a couple years.
>>12548361
Choose [math]A_n[/math] such that [math]0 < \mu (A_0) < 1[/math] and [math]0 < \mu (A_n) < 2^{-n} \mu (A_{n-1})[/math].
Set [math]B_n = A_n - \bigcup_{m>n} A_m[/math]
[math]B_n[/math] can't have zero measure because of our beefy overexaggerated estimate.
They're also all trivially disjoint.