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- W3035483662 abstract "We prove a weak adjoint functor theorem in the setting of categories enriched in a monoidal model category $mathcal V$ admitting certain limits. When $mathcal V$ is equipped with the trivial model structure this recaptures the enriched version of Freyd's adjoint functor theorem. For non-trivial model structures, we obtain new weak adjoint functor theorems of a homotopical flavour - in particular, when $mathcal V$ is the category of simplical sets we obtain a homotopical adjoint functor theorem appropriate to the $infty$-cosmoi of Riehl and Verity. We also investigate accessibility in the enriched setting, in particular obtaining homotopical cocompleteness results for accessible $infty$-cosmoi." @default.
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- W3035483662 date "2020-06-14" @default.
- W3035483662 modified "2023-09-27" @default.
- W3035483662 title "Adjoint functor theorems for homotopically enriched categories" @default.
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