I have to find all the outer measure on a set $X$ with a finite number of elements. I can find a family of functions that satisfy the outer measure definition, however how can I be sure that is are all the outer measures we can have on such a set? Or in general, once we have found a number of outer measures, how do we make sure these are all the possible ones?
2026-02-22 21:17:13.1771795033
Finding all outer measures on a finite set
78 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in REAL-ANALYSIS
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