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math.CT2020★ 1 cited
Duoidal categories, measuring comonoids and enrichment
Ignacio López Franco, Christina Vasilakopoulou
We extend the theory of Sweeder's measuring comonoids to the framework of duoidal categories: categories equipped with two compatible monoidal structures. We use one of the tensor…
math.CT2015★ 19 cited
Commutativity
Richard Garner, Ignacio López Franco
We describe a general framework for notions of commutativity based on enriched category theory. We extend Eilenberg and Kelly's tensor product for categories enriched over a symmet…