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)Iσ(ℒ) denotes those elements of I(ℒ) that are σ-smooth on ℒ, and IR(ℒ) denotes those elements...

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Bibliographic Details
Main Author: J. Ponnley
Format: Article
Language:English
Published: Wiley 1996-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171296000488
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