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For questions on limits and colimts in the sense of category theory, and related notions.
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Can comma categories of small categories be understood as limits/colimits in $\textbf{Cat}$?
Let $F: C \to D$ be a functor of small categories. One can form the comma categories $F/$ and $/F$ with objects
\begin{align*}
(c,d,\phi) && \phi: F(c) \to d \\
(c,d,\psi) && \psi: d \to F(c)
\end{ali …