 ##  [Hausdorff Space](/hausdorff-space) 

  ##  [Hausdorff Space](https://mathlogic.quantumdictionary.io/hausdorff-space-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A topological space in which any two distinct points have disjoint neighborhoods; equivalently the T2 separation axiom.

 
 ##  [Hausdorff Space](https://puremath.quantumdictionary.io/hausdorff-space-1) 

  
 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics &amp; Logic -

**Pure Mathematics Dictionary**

 
Definition

A topological space in which any two distinct points have disjoint open neighborhoods; equivalently, points can be separated by open sets (this is the T2 separation axiom).