Hausdorff space

== English == === Etymology === Named after German mathematician Felix Hausdorff (1868–1942). === Noun === Hausdorff space (plural Hausdorff spaces) (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 ∈ U {\displaystyle x\in U} and y ∈ V {\displaystyle y\in V} . ==== Synonyms ==== (topological space in which distinct points are contained in distinct open sets): T₂ space ==== Hypernyms ==== sober space topological space ==== Hyponyms ==== metric space normal space regular space ==== Translations ====