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 faraway exterior points. Every continuous path connecting a point of one region to a point of the other intersects with the curve somewhere.
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 faraway exterior points. Every continuous path connecting a point of one region to a point of the other intersects with the curve somewhere.
Source: Wikipedia "Jordan curve theorem" · CC BY-SA 4.0
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