##  [Paracompactness](/paracompactness) 

  ##  [Paracompactness](https://puremath.quantumdictionary.io/paracompactness-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A space is paracompact if every open cover admits an open refinement that is locally finite (each point has a neighbourhood meeting only finitely many sets of the refinement).