Definition 9.3.2.3.1 (00YH): Connected Categories

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A category $\mathcal{C}$ is connected if $\pi _{0}\webleft (\mathcal{C}\webright )\cong \text{pt}$.¹^,²

¹Further Terminology: A category is disconnected if it is not connected.

²Example: A groupoid is connected iff any two of its objects are isomorphic.

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