##  [Ultrametric Space](/ultrametric-space) 

  ##  [Ultrametric Space](https://natural.quantumdictionary.io/ultrametric-space-0) 

  

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**Natural & Formal Sciences Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A metric space whose distance function satisfies the strong triangle inequality d(x,z) ≤ max{d(x,y), d(y,z)} for all points, producing a hierarchical, non-Archimedean geometry.