Timeline for Test categories applied to Dold-Kan correspondence?

7 events

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Dec 12, 2015 at 18:34	history	edited	user44644	CC BY-SA 3.0	edited body
Dec 12, 2015 at 18:34	comment	added	user44644		That paper looks very interesting, will check it out, thanks Dmitri.
Dec 12, 2015 at 12:15	comment	added	Dmitri Pavlov		A recent paper by Lack and Street (Combinatorial categorical equivalences of Dold-Kan type) does generalize Dold-Kan to settings other than simplicial ones.
Dec 11, 2015 at 21:55	comment	added	user44644		Thanks David, I was partly inspired to ask the question when I read this on another question here on MO: "A simplicial object in a category C is a functor from the Delta category into C, but for almost all purposes the Delta category could be replaced with any test category in the sense of Grothendieck" (link: mathoverflow.net/questions/691/simplicial-objects). I thought there'd be some sort of generalization.
Dec 11, 2015 at 21:07	comment	added	David White		Okay, I remembered, but it doesn't answer this question. I was thinking of Schwede-Shipley Equivalences of Monoidal Model Categories, which lifts Dold-Kan to monoids, but not general diagram categories. Sorry that doesn't help.
Dec 11, 2015 at 20:49	comment	added	David White		I definitely remember reading a paper that answered this positively (I recall this was the main point of the paper). I read it recently, but that doesn't mean it's a recent paper. I'll try to remember, but others might answer first.
Dec 11, 2015 at 20:37	history	asked	user44644	CC BY-SA 3.0