Definition:Jordan Curve

Definition
Let $f : \closedint 0 1 \to \R^2$ be a Jordan arc.

Then $f$ is a Jordan curve $\map f 0 = \map f 1$.

Also known as
Some texts refer to a Jordan curve as a simple closed curve, or a simple loop.

Also see

 * Definition:Jordan Arc


 * Definition:Loop (Topology)