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Definition 2024


Hausdorff_space

Hausdorff space

English

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 and .
    If X is a Hausdorff space, then compacts sets in X are closed.

Hypernyms

Synonyms

  • T₂ space

Hyponyms