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Jul 16, 2012 at 23:46 comment added Gene S. Kopp +1. Ah, of course. The product sigma-algebra contains only sets $\mathcal{S}$ of sets of real numbers in which membership $S \in \mathcal{S}$ is determined by membership $s \in S$ for countably many real numbers $s$. Thanks!
Jul 16, 2012 at 21:23 history answered Will Sawin CC BY-SA 3.0