Hausdorff space

名词 n.

英文释义

名词 n.
  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.
    — 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.

词形变化

词源

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