This is an old revision of this page, as edited by 194.117.133.xxx (talk) at 19:32, 13 January 2002. The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.
Revision as of 19:32, 13 January 2002 by 194.117.133.xxx (talk)(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 Tychonoff space.