ScalingStacks

Definition 7.1.19. Let $\zeta$ be a non-identity homotopy class of paths in a $1$-dimensional space $X$. We define the support $\operatorname{supp}\nolimits(\zeta)$ of $\zeta$ to be the subspace $\gamma([0,1])$ of $X$, where $\gamma$ is a minimal path in $\zeta$.