For two categories $\mathcal{C}$ and $\mathcal{D}$, and a functor $F: \mathcal{C} \to \mathcal{D}$, can there exist two distinct (there does not exist a natural isomorphism between them) fucntors $G,G': \mathcal{D} \to \mathcal{C}$ such that the pairs $(F,G)$ and $(F,G')$ are both equivalences?
2026-03-28 03:26:24.1774668384
Uniqueness of Categorical Equivalences
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