Hausdorff Space

(redirected from Hausdorffness)

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 ?
Indeed, Hausdorffness implies the uniqueness of the limit.
Park, Hausdorffness on generalized intuitionistic fuzzy filter, Information Science, 168(2004), 95-110.