connected space

(redirected from Path-connected topological space)

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 ?
As is well known, the [Z.sub.2]-cup-length cup(X; [Z.sub.2]) of a compact path-connected topological space X is the maximum of all integers c such that there exist reduced cohomology classes [a.sub.1],..., [a.sub.c] [member of] [??]*(X; [Z.sub.2]) such that their cup product [a.sub.1] [union] *** [union] [a.sub.c] does not vanish.