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Programming as a hobby means I can do whatever I want! (sh.itjust.works)
submitted 5 months ago by Thelie@sh.itjust.works to c/programmer_humor@programming.dev
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[-] 82cb5abccd918e03@lemmygrad.ml 4 points 5 months ago

Doesn't that construction only work in categories that also contain their own morphisms as objects since a profunctor maps (Cᵒᵖ × C) → Set and not the same like (Cᵒᵖ × C) → C? Since the category of Haskell types special, containing its own morphisms, so the profunctor could be like (haskᵒᵖ × hask) -> hask? or I just don't understand it.

[-] kogasa@programming.dev 1 points 5 months ago

Hom functors exist for locally small categories, which is just to say that the hom classes are sets. The distinction can be ignored often because local smallness is a trivial consequence of how the category is defined, but it's not generally true

this post was submitted on 11 Jun 2024
233 points (96.8% liked)

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