##  [Heine-Borel Theorem](/heine-borel-theorem-1) 

  ##  [Heine-Borel Theorem](https://puremath.quantumdictionary.io/heine-borel-theorem-2) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A characterization of compact subsets of Euclidean space: a subset of R^n is compact if and only if it is closed and bounded.