# Hausdorff space

Definition from Wiktionary, the free dictionary

## English[edit]

### Noun[edit]

**Hausdorff space** (*plural* **Hausdorff spaces**)

- (topology) A topological space in which for any two distinct points
*x*and*y*, there is a pair of disjoint open sets*U*and*V*such that and .- If
*X*is a**Hausdorff space**, then compacts sets in*X*are closed.

- If