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simply connected

 - 2 dictionary results

sim⋅ply-con⋅nect⋅ed

[sim-plee-kuh-nek-tid]
–adjective Mathematics.
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.

Origin:
1930–35
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
Cite This Source Link To simply connected
simply connected  
adj.  Of, being, or characterized by the property of a surface or other space such that any closed curve within it can be continuously shrunk to a point without leaving the space.
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
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