Definition:Smooth Path/Closed/Complex Plane

Definition

Let $\gamma$ be a smooth path in $\C$.

Then $\gamma$ is a closed smooth path if and only if $\gamma$ is a closed path.

That is, if and only if $\map \gamma a = \map \gamma b$.

Sources

• 2001: Christian Berg: Kompleks funktionsteori $\S 2.2$