Geodesic
Absolute Continuity for Group-Valued Measures
Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 577-579

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DOI

In this note we generalize the following classical theorem: If μ and ν are finite real-valued measures such that ν(A) = 0 implies μ(A) = 0, then for every ε > 0, there exists δ > 0 such that μ(A)<ε whenever ν(A)< δ. 
Traynor, Tim. Absolute Continuity for Group-Valued Measures. Canadian mathematical bulletin, Tome 16 (1973) no. 4, pp. 577-579. doi: 10.4153/CMB-1973-094-4
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     title = {Absolute {Continuity} for {Group-Valued} {Measures}},
     journal = {Canadian mathematical bulletin},
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     year = {1973},
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     number = {4},
     doi = {10.4153/CMB-1973-094-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1973-094-4/}
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