ScalingStacks

Definition 7.3.4. We say that a path $\gamma$ in $Z$ is smooth if it satisfies the equivalent conditions of Lemma 7.3.3.

We say that a path $\gamma$ in $Z$ is admissible if it is oriented and smooth.

We say that a homotopy class of paths is smooth (resp. admissible, resp. oriented) if it contains a smooth (resp. an admissible, resp. an oriented) path.