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Apr 13, 2017 at 12:58 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
Feb 4, 2010 at 22:32 vote accept Kevin H. Lin
Dec 27, 2009 at 5:39 comment added Mike Shulman I agree mostly, but I would prefer a model for (∞,n)-categories to produce not just the (∞,1)-category of (∞,n)-categories but the (∞,n+1)-category of them. And I would expect simplicial strict n-categories to be too strict. Also, in addition to n-CSS and Θ-spaces, there is a Simpson-Tamsamani approach; I know some people are working on comparing all these, but I don't know of results yet. Finally, any definition of ω-categories, such as Batanin's globular one, can be specialized to (∞,n) by requiring m-cells to be invertible for m>n.
Dec 26, 2009 at 16:52 history answered Reid Barton CC BY-SA 2.5