• Interaction With Groupoids. If $\mathcal{C}$ is a groupoid, then we have an isomorphism of categories
    \[ \pi _{0}\webleft (\mathcal{C}\webright )\cong \mathrm{K}\webleft (\mathcal{C}\webright ), \]

    where $\mathrm{K}\webleft (\mathcal{C}\webright )$ is the set of isomorphism classes of $\mathcal{C}$ of .


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