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Feb 6, 2010 at 3:02 comment added Chris Schommer-Pries Thanks for pointing this out Allison. Your right, this is exactly in the same spirit of what I'm hoping to see. The Joyal model structure is not equivalent to the usual one, but it is very interesting and useful. It has more fibrant objects, and the weak equivalences between the Kan complexes are the usual sort, as you pointed out. It would be great if this can be pushed even further.
Feb 5, 2010 at 17:39 history answered Allison Smith CC BY-SA 2.5