Geodesic
Algebraic ramifications of the common extension problem for group-valued measures
Fundamenta Mathematicae, Tome 146 (1994) no. 1, pp. 1-20

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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.
DOI : 10.4064/fm-146-1-1-20

R. Göbel 1 ; R. M. Shortt 1

1 
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R. Göbel; R. M. Shortt. Algebraic ramifications of the common extension problem for group-valued measures. Fundamenta Mathematicae, Tome 146 (1994) no. 1, pp. 1-20. doi: 10.4064/fm-146-1-1-20

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