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Conference Papers Year : 2012

Operads, clones, and distributive laws

Abstract

We show how non-symmetric operads (or multicategories), symmetric operads, and clones, arise from three suitable monads on Cat, each extending to a (pseudo-)monad on the bicategory of categories and profunctors. We also explain how other previous categorical analyses of operads (via Day's tensor products, or via analytical functors) fit with the profunctor approach.
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Dates and versions

hal-00697065 , version 1 (14-05-2012)

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Pierre-Louis Curien. Operads, clones, and distributive laws. Operads and Universal Algebra : Proceedings of China-France Summer Conference, Jul 2010, Tianjin, China. pp.25-50. ⟨hal-00697065⟩
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