Definition 27.1.3.label Let $U \subset \complex$, $z_{0} \in U$, and $r > 0$ such that $\ol{B(z_0, r)}\subset U$, then the path
\[\omega_{z_0, r}: [0, 2\pi] \to U \quad \theta \mapsto a + re^{i\theta}\]
is the standard path of winding number $1$ at $a$ with radius $r$.
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