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math.CT2022★ 2 cited
Operads as double functors
Claudio Pisani
It is shown how double categories provide a direct abstract approach to coloured operads; namely, product-preserving normal lax functors from (Pb C)^op (the opposite of the double…
math.CT2022
Fibered Multicategory Theory
Claudio Pisani
Given a fibration in groupoids d : D -> I, we define a fibered multicategory as a particular functor p : M -> I, where M has the same objects as D, and its arrows a : X -> Y should…