Hausdorff space

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Noun[edit]

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  x \in U and  y \in V .
    If X is a Hausdorff space, then compacts sets in X are closed.

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