##  [Uniform Space](/uniform-space) 

  ##  [Uniform Space](https://puremath.quantumdictionary.io/uniform-space-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A set X equipped with a uniform structure (a filter or family of entourages of the diagonal in X×X) that formalizes uniform properties such as uniform continuity, uniform convergence, and Cauchy-ness of nets independent of a particular metric.