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Meaning of simply-connected

sim•ply-con•nect•ed

Pronunciation: (sim'plē-ku-nek"tid), [key]
— adj. Math.
  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.