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Nov 9, 2015 at 18:22 history edited Jeff Strom CC BY-SA 3.0
Added additional constraint on $C$; grammar
Nov 5, 2015 at 18:36 comment added Jeff Strom I'll look into it!
Nov 5, 2015 at 18:20 comment added Charles Rezk Your simplicial set is actually a $\Gamma$-set (in the sense of Segal): the $\Gamma$-structure in particular encodes the symmetric group actions. So perhaps you are really interested in sub-$\Gamma$-sets? (Not that I have anything to say about those either.)
Nov 4, 2015 at 16:43 history asked Jeff Strom CC BY-SA 3.0