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Theory in a Measure Space without Vitali ConditionsHenceforth we assume that ℬ is the domain of a measure μ that is σ-additive, σ-finite and strictly positive; hence μ(.) = 0 implies . = ◯.套索 发表于 2025-3-24 18:18:35
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ApplicationsL. H. . proved that every Boolean σ-algebra can be represented isomorphically as the quotient of a Boolean σ-algebra of sets by a σ-ideal of the latter algebra. If the abstract σ-algebra bears a strictly positive measure, then it can be transfered to the “concrete” σ-algebra; the dividing σideal consists of the nullsets.减至最低 发表于 2025-3-24 23:16:38
Juliane Meyerhoff,Christoph Brühl and A. P. . (blankets); later certain concrete situations (e. g., the interval basis) are studied. The principal tool is a Vitali property, whose precise form depends on the derivation property studied.