Definition:Non-Archimedean/Metric/Archimedean
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Definition
A metric is Archimedean if and only if it is not non-Archimedean.
That is, if and only if:
- $\exists x, y, z, \in X: \map d {x, y} > \max \set {\map d {x, z}, \map d {y, z} }$
Also see
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- The $p$-adic metric is non-Archimedean.