Pronunciation: (sim'plē-ku-nek"tid), [key]
1. (of a set or domain) having a connected complement.
2. (of a set or domain) having the property that every simple closed curve in the set can be shrunk to a point without intersecting the boundary of the set.
Random House Unabridged Dictionary, Copyright © 1997, by Random House, Inc., on Infoplease.