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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 16th 2010

    stub for 2-topos (mostly so that the links we have to it do point somewhere at least a little bit useful)

    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeMar 10th 2023

    Added the reference

    • Dominique Bourn, Sur les ditopos, C. R. Acad. Sci. Paris 279, 911–913 (1974).

    diff, v28, current

    • CommentRowNumber3.
    • CommentAuthorTodd_Trimble
    • CommentTimeJun 4th 2023
    • (edited Jun 4th 2023)

    I feel like some work (that I don’t feel up to at the moment) could be put into clarifying which notions of 2-topos are being invoked in the statements at various points. For example, I expect Theorem 2.2 could be clarified, by starting off with “For 𝒳\mathcal{X} a 2-topos of 2-sheaves on a 2-site” (instead of just “For 𝒳\mathcal{X} a 2-topos”) because nowhere on the page appears a definite definition of 2-topos. Anyway, the page in its current state has a waffly appearance; perhaps the state of the art has improved since it was first written.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeJun 4th 2023
    • (edited Jun 4th 2023)

    I have added that assumption of “2-sheaf 2-topos” to the theore (here). My vague memory is that this theorem was formulated in order to condense the implication of the two theorems cited in the proof. Following the link to these, the assumptions are stated more clearly.

    (Not that I disagree that this entry, like most, would deserve to be improved.)

    While at it, I have added the publication data for this reference:

    diff, v29, current

    • CommentRowNumber5.
    • CommentAuthorDavid_Corfield
    • CommentTimeJan 31st 2024


    diff, v30, current