• Equivalences vs.Adjoint Equivalences. Every equivalence of categories can be promoted to an adjoint equivalence.[1]

Footnotes

[1] More precisely, we can promote an equivalence of categories $\webleft (F,G,\eta ,\epsilon \webright )$ to adjoint equivalences $\webleft (F,G,\eta ',\epsilon \webright )$ and $\webleft (F,G,\eta ,\epsilon '\webright )$.

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