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Let A and B be fields of subsets of a nonempty set X and let µ : A → E and ν : B → E be finitely additive measures (" charges ") taking values in a commutative semigroup E. We assume that µ and ν are consistent (e.g. µ = ν on A ∩ B) and ask whether they have a common extension to a charge ρ : A ∨ B → E. Now, we shall see (proposition 2.3) that the most(More)
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