connected space

(redirected from Arcwise 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 ?
is arcwise connected. Similar conclusion if u [greater than or equal to] 0 is replaced by u [less than or equal to] 0.
We can conclude in this way that [??] is arcwise connected. Let now [u.sub.1], [u.sub.2] [member of] O.