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    • CommentRowNumber1.
    • CommentAuthorporton
    • CommentTimeOct 14th 2014
    • (edited Oct 14th 2014)

    In topogeny:

    Lemma 2. Given diagram ϕ:DFilt(X) with D filtered, RX(colimdDϕ(d),G)=dDRX(ϕ(d),G).

    But isn’t colimit for a poset (such as Filt(X)) just a join (supremum)? And AFAIK, supremum does not depend on whether the diagram D is filtered.

    What do I misunderstand?

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeOct 14th 2014

    I answered in a private email to Victor.