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Meaning of Hausdorff space

Haus'dorff space"

Pronunciation: (hous'dôrf, houz'-), [key]
— Math. Math.
  1. a topological space in which each pair of points can be separated by two disjoint open sets containing the points.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.