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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 27th 2020

    In the section “In terms of truncations” I have added a few more cross links (both between the definitions in that section as well as to the respective items in HTT).

    diff, v55, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJun 27th 2020

    added this pointer:

    diff, v57, current

    • CommentRowNumber3.
    • CommentAuthorHurkyl
    • CommentTimeOct 14th 2020

    Added the characterization of n-truncated morphisms via homotopy groups.

    diff, v58, current

    • CommentRowNumber4.
    • CommentAuthorHurkyl
    • CommentTimeOct 14th 2020

    The theorem that presentable functors commute with truncation (HTT omitted the hypothesis that the functor is left exact.

    diff, v59, current

    • CommentRowNumber5.
    • CommentAuthorTim_Porter
    • CommentTimeOct 14th 2020

    Fixed a typo.

    diff, v60, current

    • CommentRowNumber6.
    • CommentAuthorHurkyl
    • CommentTimeOct 23rd 2020

    Included the description of n-truncated objects in the category of presheaves being the presheaves taking values in n-truncated spaces.

    diff, v61, current

  1. subcategory of n-truncated objects is called \tau_n C


    diff, v77, current

    • CommentRowNumber8.
    • CommentAuthorʇɐ
    • CommentTimeJan 7th 2024
    • (edited Jan 7th 2024)

    Changed “for all 2n -2 \le n \le \infty ” in proposition 3.3 (the existence of the (nn-connected, nn-truncated) factorization system) to “2n< -2 \le n \lt \infty ” to match the formulation of HTT’s example (Lurie 2009: 390).

    (Is it even true for n=n=\infty with the definition of nn-truncatedness given here, or do you need some hypercompleteness assumption?)

    diff, v80, current