Measures Below Outer Measures
Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 270-271

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DOI

We give a simple proof that, for any ॉ > 0, there is an outer measure μ* on a finite set X such that, for any measure Thus there is a non-zero outer (finitely subadditive) measure v* on the clopen subsets of the Cantor set such that, if v ≤ v* is a finitely additive measure on the clopen subsets of the Cantor set, then v ≡ 0.
DOI : 10.4153/CMB-1994-039-7
Mots-clés : 28A12, 28A35, 28C15
Watson, Stephen. Measures Below Outer Measures. Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 270-271. doi: 10.4153/CMB-1994-039-7
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     title = {Measures {Below} {Outer} {Measures}},
     journal = {Canadian mathematical bulletin},
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     year = {1994},
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     doi = {10.4153/CMB-1994-039-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-039-7/}
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