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- W4378474150 abstract "We prove that a lax $mathbb{E}_{n+1}$-monoidal functor from $mathcal V$ to $mathcal W$ induces a lax $mathbb{E}_n$-monoidal functor from $mathcal V$-enriched $infty$-categories to $mathcal W$-enriched $infty$-categories in the sense of Gepner--Haugseng. We prove this as part of a general-purpose interaction with the Boardman--Vogt tensor product $otimes$: given a construction that takes an $mathcal E$-monoidal $infty$-category to a category expressible in diagrammatic terms, we give a criterion for it to take $(mathcal{O} otimes mathcal{E})$-monoidal $infty$-categories to $mathcal{O}$-monoidal $infty$-categories using a pointwise monoidal structure." @default.
- W4378474150 created "2023-05-27" @default.
- W4378474150 creator A5029706429 @default.
- W4378474150 date "2023-05-24" @default.
- W4378474150 modified "2023-09-25" @default.
- W4378474150 title "Lax monoidality for products of enriched higher categories" @default.
- W4378474150 doi "https://doi.org/10.48550/arxiv.2305.15204" @default.
- W4378474150 hasPublicationYear "2023" @default.
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