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Mathematics
Topology and Analysis
Generalization of measure theory to uncountable unions
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[QUOTE="WWGD, post: 5844692, member: 69719"] I am not sure, sorry, but I have thought of using hyperreal-valued measures, since this would allow for sums to assume infinite values. Still, it seems hard to interpret a set having a measure with non-zero non-standard part. I think I saw this dealt with somewhere; let me see if I can find a link to the source. Your taking limits over countable subsets kind of reminds me of Riemann sums. [/QUOTE]
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Generalization of measure theory to uncountable unions
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