Is Hask locally small?

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遥遥无期
遥遥无期 2021-02-08 05:36

Is the category Hask of haskell objects an example of a locally small category?

http://ncatlab.org/nlab/show/locally+small+category

Maybe not.. hask as cpo htt

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  •  不要未来只要你来
    2021-02-08 06:25

    Hask objects are Haskell types which are countably infinite. Hask arrows are Haskell functions which are also countably infinite. Therefore Hask is not only locally small, Hask is small.

    card(ob(Hask))=card(hom(Hask))=card(N)

    More details about Hask here:

    http://yannesposito.com/Scratch/en/blog/Category-Theory-Presentation/

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