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On the equivalence of a countable disjoint class of sets of positive measure and a weaker condition than total σ–finiteness of measures
Let ( X, S ) be a measurable space and S be a σ-algebra of subsets of X . A nonempty class M is said to be a class of null sets if M ⊂ S, M is closed under countable unions of sets and E ∩ F ∈ M …