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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 …
Zev Chonoles's user avatar
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