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Abstract and Applied Analysis
Volume 2014, Article ID 163258, 9 pages
http://dx.doi.org/10.1155/2014/163258
Research Article

Remarks on Ultrametrics and Metric-Preserving Functions

1Department of Mathematics, Faculty of Science, Silpakorn University, Nakhon Pathom 73000, Thailand
2Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand

Received 22 December 2013; Accepted 19 April 2014; Published 30 April 2014

Academic Editor: Gaston M. N’Guérékata

Copyright © 2014 Prapanpong Pongsriiam and Imchit Termwuttipong. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Functions whose composition with every metric is a metric are said to be metric-preserving. In this paper, we investigate a variation of the concept of metric-preserving functions where metrics are replaced by ultrametrics.