Definition:Loop (Topology)

Definition
Let $X$ be a topological space.

A path $\gamma: \left[{0 \,.\,.\, 1}\right] \to X$ is called a loop :
 * $\gamma \left({0}\right) = \gamma \left({1}\right)$

Also known as
A loop is also referred to as a closed path.

Also see

 * Definition:Fundamental Group
 * Definition:Closed Contour