• Contractible, having a collection of objects $\webleft\{ a,b,c,\ldots \webright\} $, but with $\textup{Hom}_{\mathcal{C}}\webleft (a,b\webright )$ being a $\webleft (-2\webright )$-category (i.e. trivial) for all $a,b\in \text{Obj}\webleft (\mathcal{C}\webright )$, forcing all objects of $\mathcal{C}$ to be uniquely isomorphic to each other.

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