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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeSep 6th 2011
    • (edited Sep 6th 2011)

    I have started a page compactly generated model category. But this is at best “under construction” (I have added a warning). I first just wanted to record Jardine’s definition referred to there. But I find something weird at least in the notation he has (he must mean homotopy colimits in the simplicial localization instead of plain colimits on homotopy hom-sets?!), and I don’t seem to find two different autrhors that agree on all the ingredients.

    I’ll leave the entry in this unsatisfactory state for the moment. There is a warning.

    • CommentRowNumber2.
    • CommentAuthorHarry Gindi
    • CommentTimeSep 6th 2011

    Why would he require it for homotopy colimits? That’s not the point of that condition.

    I mean… the reason why he does it that way is only obvious if you actually read through the whole paper, because it does actually make sense.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeSep 6th 2011
    • (edited Sep 6th 2011)

    I guess you are right. I should buckle down to sort out in the entry all the different definitions. Or you should! ;-)

    • CommentRowNumber4.
    • CommentAuthorHarry Gindi
    • CommentTimeSep 6th 2011

    It seems like May, Mandell, Shipley, and Schwede are using it to mean something very different.

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeSep 6th 2011

    Yes, it’s a pain.

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