connected space

(redirected from Disconnected space)

connected space

[kə′nek·təd ′spās]
(mathematics)
A topological space which cannot be written as the union of two nonempty disjoint open subsets.
References in periodicals archive ?
A neutrosophic chaos space (X, [tau]) is said to be a neutrosophic orbit extremally disconnected space if the neutrosophic closure of every neutrosophic open orbit set is neutrosophic open orbit.
If (X,[tau]) a disconnected space and (X,[[tau].sub.[alpha]]) is a topological space, then (X,[[tau].sub.[alpha]]) is [alpha]-[tau]-disconnected.
A basement library could have been a very disconnected space: instead, Mecanoo's invention has made it the most connected layer of the whole library.
If [IFSQI.sub.u](A) is an intuitionistic Fuzzy smooth quasi uniform increasing open set in (X, [T.sub.u], [less than or equal to]), then (X, [T.sub.u], [less than or equal to]) is said to be upper intuitionistic Fuzzy smooth quasi uniform basically disconnected space. Similarly we can define lower intuitionistic Fuzzy smooth quasi uniform basically disconnected space.
Let X be any disconnected space. Then X is the union of two disjoint nonempty open sets, U and V.
There's a real joy in having a disconnected space, and people will begin to pursue that," the volunteers said.
Disconnected space members can also work offline on documents in the Groove space and their changes will be synchronized with the rest of the group as soon as each person reconnects to the network.
The concept of fuzzy basically disconnected space was introduced and studied in [7].
The inverse image of a disconnected space under a sl.gpr.c.,[resp: sl.rg.c.; sl.g.c.; sl.r.c.] surjection is gpr-disconnected.
Previously a series of small, disconnected spaces, the center aims for an "open and welcoming campus center filled with natural light and strong connections to the surrounding city."
And yet the sneaker does not step out into a total void: A second white panel functions as a backdrop that gives the shoe its almost sculptural presence in spite of its total flatness, creating a set of disconnected spaces that cannot be easily assimilated within the ordinary world of kinesthetic and perceptual experience.
Water was the only element that flowed freely through the disconnected spaces, and so, 20 years later, Hardy Holzman Pfeiffer Associates was invited to add space and bring order to the complex.