Subsubsection 9.3.2.3 (00YG): Connected Categories

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*To be replaced with Linus Romer's Elemaints when it is released.

A category $C$ is connected if $π_{0} (C) ≅ pt$ .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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