Algebras of higher operads as enriched categories

Details Algebras of higher operads as enriched categories Algebras of higher operads as enriched categories

2008-03-25

arxiv.org/abs/0803.3594v1

Mathematics

Category Theory

38pp

Scientific paper

We decribe the correspondence between normalised $\omega$-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 $\omega$-operad, and categories enriched in globular sets for the induced lax monoidal structure.

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