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Revision as of 13:14, 20 August 2001 by AxelBoldt (talk | contribs) (link to iff)(diff) ← Previous revision | Latest revision (diff) | Newer revision → (diff)A Hausdorff space is a topological space in which distinct points have disjoint neighbourhoods. Hausdorff spaces are also called T2 spaces. They are named after Felix Hausdorff.
Limits of sequences (when they exist) are unique in Hausdorff spaces.
A topological space X is Hausdorff iff the diagonal {(x,x) : x in X} is a closed subspace of the Cartesian product of X with itself.
See also topology, compact space and Tychonov space.