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    • CommentRowNumber1.
    • CommentAuthorDavid_Corfield
    • CommentTimeSep 11th 2021

    Thought I’d start something in the hope that experts will say more.

    v1, current

    • CommentRowNumber2.
    • CommentAuthorTim_Porter
    • CommentTimeSep 11th 2021

    David. Have you seen this?

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeSep 11th 2021

    Thanks. Have added that in, and some more comments.

    diff, v2, current

    • CommentRowNumber4.
    • CommentAuthorvarkor
    • CommentTimeOct 9th 2021

    Mention KZ doctrines and remove duplicate link.

    diff, v4, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTime5 days ago
    • (edited 5 days ago)

    I have edited this entry a fair bit:

    Have touched the original text to make it flow better (I hope) and added some crucial cross-links, such as with ETCC and with 2-topos.

    Then I added paragraphs on how:

    • in one direction, this “formal category theory” is the categorification of the discussion of set theory via the topos of sets,

    • while, in the other direction, it further categorifies to the untrodden territory of formal \infty-category theory seen in the full (,2)(\infty,2)-topos Cat (,1)Cat_{(\infty,1)}

    • which however is already interesting in Verity & Riehl’s “formal \infty-category theory” seen in “just” 2Ho(Cat (,1))2Ho\big( Cat_{(\infty,1)}\big),

    • (which, at least for the case of presentable \infty-categories, is accessible already as 2Ho(ComModCat).)

    As one source I found for exactly this terminology, I added pointer to:

    diff, v5, current

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