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Oct 4, 2019 at 0:35 answer added Dmitri Pavlov timeline score: 7
Mar 6, 2019 at 16:11 comment added Charles Rezk It's worth noting that almost all of your list of properties are shared by the functor $EX:= \mathrm{Sing}|X|$, the singular complex of geometric realization. (I guess I don't know that $E$ preserves all filtered colimits, but the others are ok.).
Mar 6, 2019 at 8:37 answer added Simon Henry timeline score: 14
Mar 6, 2019 at 6:20 answer added Dmitri Pavlov timeline score: 8
Mar 6, 2019 at 1:09 history edited Tim Campion CC BY-SA 4.0
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Mar 6, 2019 at 1:03 history asked Tim Campion CC BY-SA 4.0