--- lastmod: "2021-09-12T22:47:44.0000000+01:00" author: patrick categories: - categorytheory comments: true date: "2015-12-24T00:00:00Z" aliases: - /categorytheory/general-adjoint-functor-theorem/ - /general-adjoint-functor-theorem/ title: General Adjoint Functor Theorem --- Just a post to draw attention to [my new article][article] about the [General Adjoint Functor Theorem][GAFT]. It's a motivation of the GAFT and its proof. I've never seen it motivated in this way, and it's actually quite a natural theorem. I haven't managed to motivate the Special Adjoint Functor Theorem at all, although I'm told that it's natural if you know Stone-Cech compactification. [article]: /misc/AdjointFunctorTheorems/AdjointFunctorTheorems.pdf [GAFT]: https://ncatlab.org/nlab/show/adjoint+functor+theorem