connected space

(redirected from Arc connected)

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 ?
Figure 4d shows two equivalence classes that are arc-connected and two equivalence classes that are not arc connected. On the other hand, Figure 4e shows one arc-connected equivalence class and three equivalence classes that are not arc-connected.
The proximal and distal end portions arc connected to the inner tab portion and the first major surface thereof such that opposing ends of the proximal and distal end portions are spaced apart from each other.
All of the invited "curators" are actively involved with contemporary art, whether philanthropically or commercially, and they either have prior relationships with GfZK (as does, for example, the industrialist, collector, and cofounder of GfZK Arend Oetker) or arc connected locally, like the Galerie Eigen+Art.
To clean the screen, the lid can be simply removed from the hinge and blown off with compressed air--no vacuum or material lines arc connected to the lid.