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nLab > Latest Changes: function type

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  1. added rules for function types as types of anafunctions

    Anonymous

    diff, v15, current

    • CommentRowNumber2.
    • CommentAuthorMike Shulman
    • CommentTimeJan 13th 2023

    That seems pretty exotic and out of place on a page that’s introducing such a basic aspect of type theory. What’s your goal in introducing it?

  3. Added a section about the categorical structure for function types

    Anonymouse

    diff, v19, current

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeOct 1st 2023
    • (edited Oct 1st 2023)

    How about we reword the lead-in sentence (here) a little:

    Where it says “Function types have categorical structure…” I’d think the more standard way to phrase this would be something like

    Function types play the role of hom-objects in a kind of enriched category whose objects are the types.

    and we could add in parenthesis

    (In fact, in the presence of compatible product types this is a cartesian closed category-structure [cf. Lambek & Scott 1986])

    to indicate that this is a classical observation.

    What do you think?

  5. Added Urs Schreiber’s suggestions from the forum to the lead paragraph of the section

    Anonymouse

    diff, v23, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeOct 1st 2023

    Okay, so I went ahead and also renamed the section to “Function types as hom-objects” (here)

    diff, v24, current

    • CommentRowNumber7.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 30th 2024

    Made adjustments to the section ’Graph of a function’.

    diff, v36, current

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