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arXiv · 0803.3594

Algebras of higher operads as enriched categories

Michael Batanin·Mark Weber
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Abstract

We decribe the correspondence between normalised $ω$-operads and certain lax monoidal structures on the category of globular sets. As with ordinary monoidal categories, one has a notion of category enriched in a lax monoidal category. Within the aforementioned correspondence, we provide also an equivalence between the algebras of a given normalised $ω$-operad, and categories enriched in globular sets for the induced lax monoidal structure.

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Michael Batanin, Mark Weber. 2008-03-25. Algebras of higher operads as enriched categories. https://arxiv.org/abs/0803.3594

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