Definition:Jordan Curve

Definition
Let $f$ be a Jordan arc from $\tuple {x_1, y_1}$ to $\tuple {x_2, y_2}$.

Then $f$ is a Jordan curve $\tuple {x_1, y_1} = \tuple {x_2, y_2}$.

Also known as
Some sources call this a simple closed curve, or a simple loop.

Also see

 * Definition:Jordan Arc