Geodesic
A continuous operator extending ultrametrics
Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 1, pp. 141-151.

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The problem of continuous simultaneous extension of all continuous partial ultrametrics defined on closed subsets of a compact zero-dimensional metric space was recently solved by E.D. Tymchatyn and M. Zarichnyi and improvements to their result were made by I. Stasyuk. In the current paper we extend these results to complete, bounded, zero-dimensional metric spaces and to both continuous and uniformly continuous partial ultrametrics.
Classification : 54C20, 54E35, 54E40
Keywords: ultrametric; space of partial ultrametrics; continuous extension operator 
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Stasyuk, I.; Tymchatyn, E. D. A continuous operator extending ultrametrics. Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 1, pp. 141-151. http://geodesic.mathdoc.fr/item/CMUC_2009__50_1_a12/