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Outer measures, measurability, and lattice regular measures

Outer measures, measurability, and lattice regular measures

Let X be an arbitrary non‐empty set, and ℒ a lattice of subsets of X such that ∅ , X ∈ ℒ . 𝒜 ( ℒ ) denotes the algebra generated by ℒ and I ( ℒ ) those zero‐one valued, non‐trivial, finitely additive measures on 𝒜 ( ℒ ) …