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(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 and y∈V.

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Hausdorff space

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Hausdorff space

noun

(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 and y∈V.

A Hausdorff space is a topological space in which any two distinct points have disjoint neighborhoods.

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意味（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∈U and y∈V.

More generally, each compact subset of a Hausdorff space is closed. […] Metric spaces and compact Hausdorff spaces enjoy an even stronger separation property; in either case, disjoint closed sets can always be separated by disjoint open sets.

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Hausdorff space

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