Geodesic
A Continuous Extension Operator for Convex Metrics
Canadian mathematical bulletin, Tome 53 (2010) no. 4, pp. 719-729

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DOI

We consider the problem of simultaneous extension of continuous convex metrics defined on subcontinua of a Peano continuum. We prove that there is an extension operator for convex metrics that is continuous with respect to the uniform topology.
DOI : 10.4153/CMB-2010-078-0
Mots-clés : 54E35, 54C20, 54E40 
Stasyuk, I.; Tymchatyn, E. D. A Continuous Extension Operator for Convex Metrics. Canadian mathematical bulletin, Tome 53 (2010) no. 4, pp. 719-729. doi: 10.4153/CMB-2010-078-0
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     author = {Stasyuk, I. and Tymchatyn, E. D.},
     title = {A {Continuous} {Extension} {Operator} for {Convex} {Metrics}},
     journal = {Canadian mathematical bulletin},
     pages = {719--729},
     year = {2010},
     volume = {53},
     number = {4},
     doi = {10.4153/CMB-2010-078-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2010-078-0/}
}
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