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Questions about abstract measure and Lebesgue integral theory. Also concerns such properties as measurability of maps and sets.

6 votes
1 answer
918 views

Correspondence between functions on a set and "states" on its power set

Let $L$ be the poset (ordered by set inclusion) that is the power set of some set $X$. A state is a function $s:L \rightarrow [0,1]$ satisfying i) for {$p_1,p_2,...$}, $p_i \in L$ a pairwise ort …