---
tag: 0S1FJ8VEX9
kind: concept
name: Hausdorff space
aliases: [t2-space, separated-space]
msc: [54D10]
sources:
  - url: https://en.wikipedia.org/wiki/Hausdorff_space
    locator: lead section
same_as:
  wikidata: Q326908
  wikipedia: Hausdorff space
---

## Summary

A Hausdorff space is a topological space in which any two distinct points have disjoint open neighbourhoods.
It is the most used separation axiom, and it makes limits of sequences unique.