Measures Below Outer Measures
Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 270-271
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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.
Watson, Stephen. Measures Below Outer Measures. Canadian mathematical bulletin, Tome 37 (1994) no. 2, pp. 270-271. doi: 10.4153/CMB-1994-039-7
@article{10_4153_CMB_1994_039_7,
author = {Watson, Stephen},
title = {Measures {Below} {Outer} {Measures}},
journal = {Canadian mathematical bulletin},
pages = {270--271},
year = {1994},
volume = {37},
number = {2},
doi = {10.4153/CMB-1994-039-7},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-039-7/}
}
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