Definition:Closed Path (Topology)

Definition
Let $X$ be a topological space.

Let $\mathbb I \subset \R$ be the closed unit interval $\left[{0 \,.\,.\, 1}\right]$.

Let $c: \mathbb I \to X$ be a path in $X$.

Then $c$ is said to be closed $c \left({0}\right) = c \left({1}\right)$.

Also see

 * Definition:Closed Contour