Category:Definitions/Jordan Curves

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This category contains definitions related to Jordan Curves in the context of Topology.
Related results can be found in Category:Jordan Curves.

Let $f : \closedint 0 1 \to \R^2$ be a path in the Euclidean plane such that:

$\map f {t_1} \ne \map f {t_2}$ for all $t_1 ,t_2 \in \hointr 0 1$ with $t_1 \ne t_2$
$\map f 0 = \map f 1$

Then $f$ is called a Jordan curve.