A semimetric on a set X is a function d:X×X which satisfies:

  1. 1.


  2. 2.

    d(x,y)=0 if and only if x=y;

  3. 3.


A semimetric differs from a metric in that the triangle inequalityMathworldMathworldPlanetmathPlanetmath is not required to hold.

Title semimetric
Canonical name Semimetric
Date of creation 2013-03-22 14:24:15
Last modified on 2013-03-22 14:24:15
Owner Koro (127)
Last modified by Koro (127)
Numerical id 8
Author Koro (127)
Entry type Definition
Classification msc 54E25
Related topic GeneralizationOfAPseudometric