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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMar 7th 2012

    I have added some first content to generalized Reedy model structure.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeMar 27th 2012

    I have been adding a bunch of further details to generalized Reedy model structure.

    I wanted to break down the full proof into steps in a way that lends itself to presentation in a seminar. But I guess so far I mainly just copied it, just adding a few intermediate steps here and there. To be continued.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMar 28th 2012

    Okay, I have polished a bit more. Should now be readable and fairly complete.

    • CommentRowNumber4.
    • CommentAuthorMike Shulman
    • CommentTimeJul 8th 2014
    • (edited Jul 8th 2014)

    Looking at Berger-Moerdijk’s article, it seems to me that a generalized Reedy category produces only model structures built out of the projective model structures on group actions; to use injective model structures one would need the dual notion (the definition of generalized Reedy category not being self-dual). This is what I get from their Remark 1.8. But our page generalized Reedy model structure seems to be saying that the same notion suffices for both kinds of model structure. Is that right?

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeJul 8th 2014

    Hm, I remember that issue from back when I wrote the entry (which was when I gave our group seminar about it). But I don’t remember now the argument. I’ll try to check.

    • CommentRowNumber6.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMay 18th 2018
    • CommentRowNumber7.
    • CommentAuthorDmitri Pavlov
    • CommentTimeMay 18th 2018

    The claim discussed in the MathOverflow question was added by Urs Schreiber in revision 32.

    • CommentRowNumber8.
    • CommentAuthorUrs
    • CommentTimeMay 18th 2018
    • (edited May 18th 2018)

    Thanks for the alert! I forget what I thought when I wrote this in rev 32. For the moment I have implemented the most lazy fix now: this example.

    Notice that this concerns the entry Reedy model structure, maybe we should move discussion to that thread

    • CommentRowNumber9.
    • CommentAuthorMike Shulman
    • CommentTimeApr 10th 2020

    Urs, did you ever get anywhere with the issue discussed in #4-5 above? I would be a little surprised if one doesn’t have to switch to co-generalized Reedy categories when using injective model structures.

    • CommentRowNumber10.
    • CommentAuthorUrs
    • CommentTimeApr 10th 2020

    Sorry, no. It’s lost in time.

    • CommentRowNumber11.
    • CommentAuthorMike Shulman
    • CommentTimeApr 10th 2020

    Okay, then I’ll edit our page to align with the published results.