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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
The following article is from The Great Soviet Encyclopedia (1979). It might be outdated or ideologically biased.

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.

The Great Soviet Encyclopedia, 3rd Edition (1970-1979). © 2010 The Gale Group, Inc. All rights reserved.
References in periodicals archive ?
Using a 3-dimensional (3D) isotropic dataset, such as T2 SPACE, a single acquisition can yield high-resolution images with the option of infinite reformatting without loss of resolution.
EVirgin America's additional investments in sustainable design for its T2 spaces and "Virgin Village" crew lounge are aimed at the highest possible LEED[umlaut] Platinum-certified status.
Virgin America said it informed the T2 design concept process from the earliest stages of development and with the airline's investment in the space, it is anticipated that it's T2 spaces will achieve the highest possible LEED Platinum-certified status.