Monday, 12 May 2008

ct.category theory - Nerves of (braided or symmetric) monoidal categories

I'm looking for references on the structure which can be roughtly described as follows: given a (braided or symmetric) monoidal category $C$, I want to consider a simplicial set $N(mathbf{B}C)$ with a single vertex, an edge for every object of $C$, a triangle with edges $X,Y,Z$ for every morphism $varphi:Zto Xotimes Y$, a tethraedron for every four triangles making up a commutative diagram involving the associator of $C$, higher coherences..



Any suggestion? thanks

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