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Jordan curve theorem
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A closed curve divides the plane into two regions
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Simple closed curve
closed curve with no intersection
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In topology, the Jordan curve theorem (JCT), formulated by Camille Jordan in 1887, asserts that every Jordan curve (a plane simple closed curve) divides the plane into two regions: the interior, bounded by the curve, and an unbounded exterior, containing all of the nearby and far away exterior points. Every continuous path connecting a point of...

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