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Adjoint functor theorems for ∞‐categories

Nguyen, Hoang Kim ; Raptis, George ; Schrade, Christoph



Abstract

Adjoint functor theorems give necessary and sufficient conditions for a functor to admit an adjoint. In this paper, we prove general adjoint functor theorems for functors between ∞‐categories. One of our main results is an ∞‐categorical generalization of Freyd's classical General Adjoint Functor Theorem. As an application of this result, we recover Lurie's adjoint functor theorems for presentable ...

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