# Hausdorff space

## English

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### Noun

Hausdorff space (plural Hausdorff spaces)

1. (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 $x \in U$ and $y \in V$.
If X is a Hausdorff space, then compacts sets in X are closed.