Algebras of higher operads as enriched categories - Mathematics > Category Theory

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Abstract: We decribe the correspondence between normalised $\omega$-operads and certainlax monoidal structures on the category of globular sets. As with ordinarymonoidal categories, one has a notion of category enriched in a lax monoidalcategory. Within the aforementioned correspondence, we provide also anequivalence between the algebras of a given normalised $\omega$-operad, andcategories enriched in globular sets for the induced lax monoidal structure.

Author: Michael Batanin, Mark Weber

Source: https://arxiv.org/