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nLab > Latest Changes: differential cohesive (infinity,1)-topos

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  1.  
    • CommentRowNumber1.
    • CommentAuthorDavid_Corfield
    • CommentTimeJun 28th 2018

    I repaired the faulty ordering on the ℑ (n)\Im_{(n)} in Remark 2.6

    diff, v96, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJun 28th 2018

    Thanks! You deserve a special medal for chasing this error.

    • CommentRowNumber3.
    • CommentAuthorDean
    • CommentTimeNov 24th 2019
    • (edited Nov 24th 2019)

    Has anyone noticed that the lifting properties of a certain cohesion setup are similar to the lifting properties for a model category? The “domain and codomain fibration” section at Q-category makes me wonder how model categories might be defined in the langauge of differential cohesion (or just cohesion).

    • CommentRowNumber4.
    • CommentAuthorMike Shulman
    • CommentTimeNov 25th 2019

    I don’t know what you mean.

    • CommentRowNumber5.
    • CommentAuthorDmitri Pavlov
    • CommentTimeNov 25th 2019
    • (edited Nov 25th 2019)
    Differential cohesive toposes can be defined using various left Bousfield localizations of model categories of presheaves,
    equivalently, (reflective) ∞-localizations of ∞-categories of presheaves.

    Since Q-category is nothing but a reflective localization, this should explain the resemblance.

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