Some Results on Ultrametric-Metric-Preserving Functions

• Delgadillo Piñon, Gerardo ^[1] ; Lopez De Luna, Miguel ^[2]
  1. [1] Universidad Juárez Autónoma de Tabasco

     Universidad Juárez Autónoma de Tabasco

     México

     
  2. [2] Universidad Autónoma de la Ciudad de México

     Universidad Autónoma de la Ciudad de México

     México

     
• Localización: Emerging Trends in Education, ISSN-e 2594-2840, Vol. 2, Nº. 5, 2016
• Idioma: español
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• Resumen

  • Functions whose composition with every ultrametric is a metric are said to be ultrametric-metric-preserving. In this paper, some properties for this set of functions are provided. In addition, several results for this class of functions, that are not valid for functions that preserve the metric, are established. Some examples are given.