Hausdorff Space

(redirected from Separated space)

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 ?
The Saudi national pavilion will interpret the overall theme of this year's event, Freespace, through a project called Separated Spaces. It is being coordinated by architectural researcher Jawaher Al-Sudairy, and the dean of Faculty of Design at Imam Abdulrahman bin Faisal University, Dr.