# Hausdorff space

> English word · Noun

## Definitions
1. 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∈U and y∈V.

## Etymology
Named after German mathematician Felix Hausdorff (1868–1942).

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-05-06.
Canonical page: https://plainspell.com/en/word/hausdorff-space