Mario Román

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Multicategory

Last updated Oct 7, 2024

multicategories

Multicategories form a monoidal bicategory with multifunctors and multinatural transformations. Pseudomonoids in this monoidal bicategory are monoidal multicategories. Duoidales are duomulticategories. Any multicategory has an underlying category of 1-to-1 transformations. Any multicategory freely generates a category, called its contour.

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