Hausdorff Space

(redirected from R1 topology)

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.