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Sep 14, 2010 at 17:23 comment added Mike Shulman It would probably suffice to ask that the mapping space functor Hom(u,-) : M → sSet reflects weak equivalences.
Sep 14, 2010 at 6:55 vote accept Harry Gindi
Sep 14, 2010 at 6:53 comment added Harry Gindi Can you think roughly of a way to formulate this well-pointedness property?
Sep 14, 2010 at 6:44 history answered Mike Shulman CC BY-SA 2.5