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nLab > Latest Changes: bisimplicial set

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  1.  
    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeAug 8th 2011
    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeAug 9th 2011

    I am trying to add some homotopy-theoretic details to bisimplicial set, such total décalage, codiagonal, model structures induced from diagonal and codiagonal.

    • CommentRowNumber3.
    • CommentAuthorTim_Porter
    • CommentTimeAug 9th 2011
    • (edited Aug 9th 2011)

    Urs. Perhaps it is not a good idea to use W¯\overline{W} for the codiagonal as then for a simplicial group we have W¯G=W¯Ner(G)\overline{W}G = \overline{W}Ner(G)!!!! I tend to prefer ∇\nabla.

    • CommentRowNumber4.
    • CommentAuthorUrs
    • CommentTimeAug 9th 2011

    Yes, right. If you have time, add a warning on notation.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeAug 12th 2011

    added to bisimplicial set the explicit component formula for the codiagonal/total sSet

    • CommentRowNumber6.
    • CommentAuthorTim_Porter
    • CommentTimeAug 12th 2011
    • (edited Aug 12th 2011)

    4 Done.

    • CommentRowNumber7.
    • CommentAuthorUrs
    • CommentTimeSep 3rd 2012
    • (edited Sep 3rd 2012)

    I have polished the formatting of the section Total simplicial sets and then crossed-linked it with total complex via the Eilenberg-Zilber theorem (but more details should be spelled out eventually).

    • CommentRowNumber8.
    • CommentAuthoradeelkh
    • CommentTimeNov 14th 2013

    Added a disambiguation page at

    • CommentRowNumber9.
    • CommentAuthorTim_Porter
    • CommentTimeMar 31st 2021

    Added a reference to a recent publication.

    diff, v32, current

    • CommentRowNumber10.
    • CommentAuthorTim_Porter
    • CommentTimeApr 4th 2021
    • (edited Apr 4th 2021)

    Trying to fix a doi link! (Good it worked!)

    diff, v33, current

    • CommentRowNumber11.
    • CommentAuthorTim_Porter
    • CommentTimeApr 26th 2021
    • (edited Apr 26th 2021)

    There was use of both ∇\nabla and TT for the total complex functor. I changed the nablas to Ts, to be consistent throughout.

    diff, v35, current

    • CommentRowNumber12.
    • CommentAuthorTim_Porter
    • CommentTimeApr 26th 2021

    Fixed a link for the Jardine lecture 008.

    diff, v35, current

    • CommentRowNumber13.
    • CommentAuthorTim_Porter
    • CommentTimeJun 25th 2021

    Formatting

    diff, v36, current

1 to 13 of 13

  1.