Let $\mathcal{C}$ and $\mathcal{D}$ be 2-categories, and let $[\mathcal{C}, \mathcal{D}]$ be the 2-category of 2-functors from $\mathcal{C}$ to $\mathcal{D}$. If $\mathcal{D}$ has 2-pullbacks, does it follow that $[\mathcal{C}, \mathcal{D}]$ also has 2-pullbacks, which can be formed ''pointwise'' in some sense? And is there some reference in the literature that discusses the formation of 2-pullbacks (and more general 2-limits) in 2-functor 2-categories?
2026-02-23 18:40:00.1771872000
2-pullbacks in 2-functor 2-categories
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