Hausdorff Space

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Hausdorff space

[′hau̇s·dȯrf ‚spās]
(mathematics)
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 ?
Let X and Z be a neutrosophic locally compact Hausdorff spaces.
Soft connectedness and soft Hausdorff spaces were introduced in [13].
Fuzzy Hausdorff spaces and fuzzy irresolute functions via fuzzy ideals, V Italian-Spanish Conference on General Topology and its Applications June 21-23, 2004, Almeria, Spain
We continue the study of the theory of SBT Hausdorff spaces.
In the following section we will prove that these measures form a residual set in the space of signed Radon measures M(X) on specific Hausdorff spaces.
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.
In the Category of Topological Spaces and continuous functions with the usual closure c, the c-Hausdorff objects are the Hausdorff spaces.
A vector lattice representation theorem and a characterization of locally compact Hausdorff spaces, J.
Salama, Fuzzy Hausdorff spaces and fuzzy irresolute functions via fuzzy ideals, V ItalianSpanish Conference on General Topology and its Applications June 21-23, Almeria, Spain, (2004)
Joseph, On if-closed and Minimal Hausdorff Spaces, Proc.
Balachandran, On Generalized S--closed sets and Almost weakly Hausdorff spaces, Topology Atlas preprint #213.