Definition 40.1.8 (Return Set).label Let $G \curvearrowright X$ be a $G$-flow, $x \in X$, and $\emptyset \ne U \subset X$, then the return set of $x$ to $U$ is
\[N(x, U) = \bracsn{g \in G|gx \in U}\]
Definition 40.1.8 (Return Set).label Let $G \curvearrowright X$ be a $G$-flow, $x \in X$, and $\emptyset \ne U \subset X$, then the return set of $x$ to $U$ is
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