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    • CommentRowNumber1.
    • CommentAuthorDavid_Corfield
    • CommentTimeMar 6th 2018

    I see there’s a paper out:

    • Hoang Kim Nguyen, George Raptis, Christoph Schrade, Adjoint functor theorems for ∞-categories, (arXiv:1803.01664)

    This is more general than Lurie’s result that we have recorded at adjoint (infinity,1)-functor theorem.

    • CommentRowNumber2.
    • CommentAuthorMike Shulman
    • CommentTimeMar 6th 2018

    Someone should record their version on our page, or at least link to their paper.

    • CommentRowNumber3.
    • CommentAuthorDavid_Corfield
    • CommentTimeMar 7th 2018

    Ok. I’ve put in something, but there’s no doubt a need to tidy up, and relate their language to what we may already have.

    • CommentRowNumber4.
    • CommentAuthorMike Shulman
    • CommentTimeMar 7th 2018

    Thanks! Is the notion of “h-initial object” one that’s on the nLab anywhere else we can link to or make a stub?

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeMar 8th 2018

    I don’t think so, so I made a stub h-initial object.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeMar 8th 2018

    I have added minim cross-linking with initial object in an (∞,1)-category. also added the redirect to the plural form.

    We should probably say that “h-initial” is short for “homotopy-initial”.