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(mathbfBC) with a single vertex, an edge for every object of C, a triangle with edges X,Y,Z for every morphism varphi:ZtoXotimesY, 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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