Geodesic
Uniformly Continuous Partitions ofUnity on a Metric Space
Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 115-117

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DOI

In this paper, we construct, for any open cover of a metric space, a partition of unity consisting of a family of uniformly continuous functions.
DOI : 10.4153/CMB-1983-017-x
Mots-clés : 54E35, 54C30, 54D99, metric spaces, uniform continuity, partitions of unit 
Robinson, Stewart M.; Robinson, Zachary. Uniformly Continuous Partitions ofUnity on a Metric Space. Canadian mathematical bulletin, Tome 26 (1983) no. 1, pp. 115-117. doi: 10.4153/CMB-1983-017-x
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     title = {Uniformly {Continuous} {Partitions} {ofUnity} on a {Metric} {Space}},
     journal = {Canadian mathematical bulletin},
     pages = {115--117},
     year = {1983},
     volume = {26},
     number = {1},
     doi = {10.4153/CMB-1983-017-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1983-017-x/}
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