General Operads and Multicategories

@inproceedings{Leinster1997GeneralOA,
  title={General Operads and Multicategories},
  author={Tom Leinster},
  year={1997}
}
Notions of ‘operad’ and ‘multicategory’ abound. This work provides a single framework in which many of these various notions can be expressed. Explicitly: given a monad ∗ on a category S , we define the term (S , ∗)multicategory, subject to certain conditions on S and ∗. Different choices of S and ∗ give some of the existing notions. We then describe the algebras for an (S , ∗)-multicategory and, finally, present a tentative selection of further developments. Our approach makes possible concise… CONTINUE READING

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