Hausdorff Space

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Hausdorff space

[′hau̇s·dȯrf ‚spās]
A topological space where each pair of distinct points can be enclosed in disjoint open neighborhoods. Also known as T2 space.

Hausdorff Space


in mathematics, an important type of to pological space. A Hausdorff space is a topological space wherein any two points have nonintersecting neighborhoods. Such spaces were first defined in 1914 by F. Hausdorff, who carried out a detailed study of them.

References in periodicals archive ?
Porter: [theta]-closed subsets of Hausdorff spaces, Pacific J.
Twenty-three papers are included, with titles that include the comparison of a Kantorovich-type and Moore theorems, related fixed point theorems for mappings and set valued mappings on two metric spaces, and some fixed point theorems in compact Hausdorff spaces.
A vector lattice representation theorem and a characterization of locally compact Hausdorff spaces, J.
A topological vector lattice (E,[tau]) is homeomorphic and lattice isomorphic to a dense subspace V of (C(Y),k) for some locally compact Hausdorff space Y such that V [intersection] [C.
Joseph, On if-closed and Minimal Hausdorff Spaces, Proc.
Further Thompson [8] proved that a Hausdorff space Y is nearly compact if and only if for every topological space X, each mapping of X into Y with an r-closed graph is almost continuous.
Balachandran, On Generalized S--closed sets and Almost weakly Hausdorff spaces, Topology Atlas preprint #213.