connected space


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connected space

[kə′nek·təd ′spās]
(mathematics)
A topological space which cannot be written as the union of two nonempty disjoint open subsets.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
"This leaves us with the task of finding a new tenant for the modern, connected space that they have vacated.
A neutrosophic chaos space (X, [tau]) is said to be a neutrosophic orbit connected space if [X.sub.N] cannot be expressed as the union of two neutrosophic open orbit sets [NO.sub.f](x) and [NO.sub.f](y), x, y [member of] X of (X, [tau]) with [NO.sub.f](x) and [intersection] [NO.sub.f](y) [not member of] [[phi].sub.N].
Samsung believes and invests in a future where every home will be a connected space and thus its products are also future-ready.
This "Storm Sanctuary" challenge, referred to as a "mission", inspires students to create a connected space for communities facing natural disasters.
Inside the new Q50, Infiniti has introduced an enhanced level of artistry and quality to the high-tech cabin, providing a comfortable and connected space. Furthermore, the creation of the new grade structure has enabled Infiniti designers to differentiate each model with its own unique interior character.
This connected space at the heart of Corridor Manchester will be surrounded by world leading centres of knowledge, science and technology, business, art, music and dance.
The kitchen will be a fully connected space that can monitor the progress of your cooking, connect to social media to discover what your guests like to eat, and tell you whether the milk in the fridge is still fresh."
Thus, as argued by Li [11, 12], in the presence of AB potential, the KAM of the electron does not satisfy the fundamental commutation relations of the angular momentum even when the electron is restricted to the doubly connected space where it does not touch the magnetic field on the z-axis: the region where the magnetic field exists and is inaccessible to the electron should also be taken into account in the physically meaningful commutation relations.
As technology leader in the automobile industry, Porsche has joined forces with High Mobility to continue its work at the forefront of the connected space. The Next OI Competition is just the start for Porsche: going forward the carmaker plans to nurture a permanent workspace for developers, startups and third parties.
The site has been turned into a connected space, providing the community with useful information about the surrounding area.
Pence repeatedly connected space exploration with national security.

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