Definition:Smooth Path/Closed/Complex Plane
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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 $\S 2.2$