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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 4th 2020

    pointer to the recent proof (the thesis and the announcements)

    v1, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 5th 2020

    added these pointers to earlier status reports on the project:

    Are there earlier ones?

    diff, v3, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 5th 2020

    added this pointer and quote:

    diff, v3, current

    • CommentRowNumber4.
    • CommentAuthorDavid_Corfield
    • CommentTimeSep 5th 2020

    I wonder if there’s anything in the proof of broader significance than merely establishing the result.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeSep 5th 2020

    András Kovács here claims to see some value in the proof.

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJun 24th 2022

    I have finally removed the word “(upcoming)” from the talk announcement Brunerie & Lumsdaine 2020.

    But has there meanwhile been any publication beyond de Boer 2020?

    diff, v4, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeJul 20th 2022

    I have added these pointers:

    and this comment:

    all the the main hold-outs who believed initiality to remain unresolved have been all convinced by Taichi Uemura’s doctoral thesis, which gives a more detailed and mathematically satisfactory alternative to Cartmell’s 1978 proof for a broader class of theories — a class that includes homotopy type theory, cubical type theory, and many other type theories. [Jon Sterling, Jul 19, 2022]

    diff, v5, current

    • CommentRowNumber8.
    • CommentAuthorjonsterling
    • CommentTimeJul 22nd 2022

    Changed the quoted text to a paraphrase with a couple changes based on the nforum discussion.

    diff, v6, current