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Hausdorff space is a [[topological space]] in which, for any pair of distinct points x and y, there exist disjoint open sets U and V, such that x is in U and y is in V.  Almost all spaces studied in analysis are Hausdorff.

Hausdorff space is a [[topological space]] in which, for any pair of distinct points x and y, there exist disjoint open sets U and V, such that x is in U and y is in V.  Almost all spaces studied in analysis are Hausdorff.

An important property of Hausdorff spaces is that sequences and nets converge to a unique point.

An important property of Hausdorff spaces is that sequences, nets and filters converge to a unique point.

[[Category:Mathematics]]

[[Category:Mathematics]]