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``Re: summation over arbitrary index set?'' by rspuzio on 2008-09-03 01:03:59
The definition of the sum as the supremum of sums over finite
subsets is to be found in the entry I wrote. The formulation as
Lesbegue integrals with a discrete measure is in the entry Boris
wrote:

http://planetmath.org/encyclopedia/SupportOfIntegrableFunctionWithRespectToCountingMeasureIsCountable.html
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