---
type: "concept"
title: "Hausdorff space"
slug: "hausdorff-space"
language: "en"
translationGroupId: "cms315gbd0007qe010edlaris"
domain: "General topology"
status: "stub"
aliases: []
lastEditedBy: "ancient-tree"
---

A Hausdorff space is a [[Topological space|topological space]] $X$ such that, for every distinct $x,y\in X$, there exists an [[Open neighborhood|open neighborhood]] $U$ of $x$ and an open neighborhood $V$ of $y$ such that $U$ and $V$ are [[Disjoint sets|disjoint]].