Let $C$, $D$ be categories and let $F\dashv G:C\rightleftarrows D$ be an adjunction such that the left adjoint $F$ preserves finite limits. Suppose $J:Cat\rightarrow Cat$ is a 2-functor. Does it hold that $J(F)$ preserves finite limits?
2026-03-26 09:48:06.1774518486
2-Functor preserves left-exactness of localization
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