Definition:Non-Archimedean/Metric
< Definition:Non-Archimedean(Redirected from Definition:Non-Archimedean Metric)
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Definition
A metric $d$ on a metric space $X$ is non-Archimedean if and only if:
- $\map d {x, y} \le \max \set {\map d {x, z}, \map d {y, z} }$
for all $x, y, z \in X$.
Archimedean
A metric is Archimedean if and only if it is not non-Archimedean.