##  [Metrizability](/metrizability) 

  ##  [Metrizability](https://puremath.quantumdictionary.io/metrizability-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A topology is metrizable if there exists a metric whose induced metric topology coincides with the given topology; the property of a space being metrizable means its topology can be generated by some metric.