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Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.
17
votes
4
answers
3k
views
measure spaces as presheaves?
I recently had the idea that maybe measure spaces could be viewed as sheaves, since they attach things, specifically real numbers, to sets...
But at least as far as I can tell, it doesn't quite work …
0
votes
Non Lebesgue measurable subsets with "large" outer measure
Yes, I believe so - since subsets of a null set $A$ (i.e., $m(A)=0$) are not necessarily measurable, but will obviously still have outer measure 0, given any measurable set $E$ you "should" (i.e., I t …