connected space

(redirected from Path 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 ?
An example shows that the zero-dimensional homology of a space in that category is trivial if and only if the space is path connected by arcs of finite length.
If, for example, a ship is transiting between AORs and has one path connected to a border router for UARNOC and another path connected to a border router for ECRNOC, the load balancing from shore to ship will not work across those two paths.
The project will also feature a family entertainment centre, a marina, area dedicated for indoor and outdoor sports, restaurants, picnic areas, community shops, walk path connected by four bridhes and running and cycling tracks.
Media fill modules, such as the one offered by Hamilton Robotics, can deliver warmed media to the pipetting workspace through a disposable fluid path connected to a source container (4 C) located off-deck.
A space X is called n-connected for n [is greater than or equal to] 0 if it is path connected and [[pi].sub.k](X, x) is trivial for every base point x [member of] X and 1 [is less than or equal to] k [is less than or equal to] n.
Topology topics include definition and examples of topological spaces, connected spaces and path connected spaces, and separation properties.