A1 skeleton of a category $\mathcal{C}$ is a full subcategory $\mathsf{Sk}\webleft (\mathcal{C}\webright )$ with one object from each isomorphism class of objects of $\mathcal{C}$.
1Due to Item 3 of Proposition 9.1.3.1.3, we often refer to any such full subcategory $\mathsf{Sk}\webleft (\mathcal{C}\webright )$ of $\mathcal{C}$ as the skeleton of $\mathcal{C}$.
