Jordan curve theorem

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Related to Jordan's curve theorem: Closed curve theorem

Jordan curve theorem

n.
The theorem that states that every simple closed curve divides a plane into two parts and is the common boundary between them.
American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
References in periodicals archive ?
(9)Machover points out that were this an acceptable way of arriving at Bolzano's Theorem, the corresponding visual way of arriving at Jordan's Curve Theorem would also be acceptable; but the latter is highly implausible.
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