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nLab > Latest Changes: simplicial skeleton

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  1.  
    • CommentRowNumber1.
    • CommentAuthormattecapu
    • CommentTimeMay 28th 2020

    Added some intuition for coskeleta

    diff, v25, current

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeSep 9th 2020

    added pulication data to:

    diff, v28, current

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 9th 2020

    added publication data to:

    diff, v28, current

    • CommentRowNumber4.
    • CommentAuthorHurkyl
    • CommentTimeSep 9th 2020

    Added that the left and right adjoints of truncation are fully faithful.

    diff, v30, current

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJul 6th 2021
    • (edited Jul 6th 2021)

    The proposition here that cosk ncosk_n presrves Kan complexes came with a pointer to Zhen Lin’s Math.SE:a/597990.

    I have now added pointer also to:

    • Gian Deflorin, Lemma 10.12 in: The Homotopy Hypothesis Zurich 2019 (pdf)

    But is there not a textbook citation for this fact?

    diff, v35, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJul 6th 2021

    but I see it is mentioned (albeit without proof) on the top of p. 141 in Dwyer & Kan 1984

    diff, v35, current

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeAug 20th 2022

    I have considerably expanded (here), the example of the nerve of a category being 2-coskeletal, now including discussion also of the conditions ensuring the converse.

    This could be expanded further still. And eventually this or similar expanded discussion should also go to nerve (here) and maybe elsewhere, too.

    diff, v37, current

1 to 7 of 7

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