journal6 ›› 2009, Vol. 30 ›› Issue (4): 16-18.

• Mathematics • Previous Articles     Next Articles

Criterions for Equivalence and Uniform Equivalence of Metrics


  1. (School of Mathematics and Information Sciences,Guangzhou University,Guangzhou 510006,China)
  • Online:2009-07-25 Published:2012-04-22

Abstract: Two metrics  ρ and ρ′ on a set X are equivalent if they induce the same topology on X.The authors discuss the criterions for two metrics being equivalent and uniformly equivalent.In addition,some examples of applications are given.

Key words: metric, equivalence, uniform equivalence

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