# Hausdorff space

### From Conservapedia

**Hausdorff space** (or **T _{2} spaces**) is a topological space in which, for any pair of distinct points x and y, there exist disjoint open sets U and V, such that x is in U and y is in V. Almost all spaces studied in analysis are Hausdorff.

The subspace of a Hausdorff space is a Hausdorff space; the product of 2 Hausdorff spaces is a Hausdorff space.

The most important property of Hausdorff spaces is that sequences, nets and filters converge to a unique point.