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    • CommentRowNumber1.
    • CommentAuthorZhen Lin
    • CommentTimeAug 6th 2013

    I added two characterisations of weak homotopy equivalences to model structure on simplicial sets.

    For the record, I found the inductive characterisation in Cisinski’s book [Les préfaisceaux comme modèles des types d’homotopie, Corollaire 2.1.20], but I feel like I’ve seen something like it elsewhere. The characterisation in terms of internal homs comes from Joyal and Tierney [Notes on simplicial homotopy theory], but they take it as a definition.

    • CommentRowNumber2.
    • CommentAuthorUrs
    • CommentTimeJul 27th 2021
    • (edited Jul 27th 2021)

    I have added full publication data and section-pointers to a bunch of the references we had here, and cleaned up the list a little (slight re-organization, slight tweaking of wordings, for streamlining). For instance, it seemed to make no sense to list the proof by Goerss&Jardine not among the list including those by Gelfand&Manin and by Joyal&Tierney.

    Then I added those further references we had at classical model structure on simplicial sets but not here yet.

    In fact it’s a pain that I should go now to do the same updating there. So this means that instead I should make this references-section a stand-alone entry to be !include-ed here and there. Will do this now at:

    classical model structure on simplicial sets – references

    diff, v43, current

  1. Reference pointed to the wrong section of Goerss-Jardine.


    diff, v44, current

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