Definition:Non-Archimedean/Metric/Archimedean

Definition
A metric is Archimedean it is not non-Archimedean.

That is, :
 * $\exists x, y, z, \in X: \map d {x, y} > \max \set {\map d {x, z}, \map d {y, z} }$

Also see

 * Definition:Non-Archimedean Metric


 * The $p$-adic metric is non-Archimedean.