Remarks on Ultrametrics and Metric-Preserving Functions
Classical Analysis and ODEs
2013-12-17 v1 Functional Analysis
Abstract
Functions whose composition with every metric is a metric are said to be metric-preserving. In this article, we investigate a variation of the concept of metric-preserving functions where metrics are replaced by ultrametrics.
Keywords
Cite
@article{arxiv.1312.4377,
title = {Remarks on Ultrametrics and Metric-Preserving Functions},
author = {Prapanpong Pongsriiam and Imchit Termwuttipong},
journal= {arXiv preprint arXiv:1312.4377},
year = {2013}
}
Comments
to be submitted soon, 22 pages