Algebraic ramifications of the common extension problem for group-valued measures
Volume 146 / 1994
Fundamenta Mathematicae 146 (1994), 1-20
DOI: 10.4064/fm-146-1-1-20
Abstract
Let G be an Abelian group and let μ: A → G and ν: B → G be finitely additive measures (charges) defined on fields A and B of subsets of a set X. It is assumed that μ and ν agree on A ∩ B, i.e. they are consistent. The existence of common extensions of μ and ν is investigated, and conditions on A and B facilitating such extensions are given.
