Hausdorff space

In topology and related branches of mathematics, a Hausdorff space, separated space or T2 space is a topological space in which points can be separated by neighbourhoods. Of the many separation axioms that can be imposed on a topological space, the Hausdorff condition is the most frequently used and discussed .

Related Topics:
Topology - Mathematics - Topological space - Separation axioms

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Hausdorff spaces are named for Felix Hausdorff, one of the founders of topology. In fact, Hausdorff's original definition of a topological space included the Hausdorff condition as an axiom.

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