Uniqueness of monoidal adjunctions
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arXiv
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866915120570957824 |
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| author | Torii, Takeshi |
| author_facet | Torii, Takeshi |
| contents | There are two dual equivalences between the $\infty$-category of $\mathcal{O}$-monoidal $\infty$-categories with right adjoint lax $\mathcal{O}$-monoidal functors and that with left adjoint oplax $\mathcal{O}$-monoidal functors, where $\mathcal{O}$ is an $\infty$-operad. We study the space of equivalences between these two $\infty$-categories, and show that the two equivalences equipped with compatible $\mathcal{O}$-monoidal presheaf functors are canonically equivalent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_02035 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Uniqueness of monoidal adjunctions Torii, Takeshi Category Theory Algebraic Topology 18N70 (primary), 18N60, 55U40 (secondary) There are two dual equivalences between the $\infty$-category of $\mathcal{O}$-monoidal $\infty$-categories with right adjoint lax $\mathcal{O}$-monoidal functors and that with left adjoint oplax $\mathcal{O}$-monoidal functors, where $\mathcal{O}$ is an $\infty$-operad. We study the space of equivalences between these two $\infty$-categories, and show that the two equivalences equipped with compatible $\mathcal{O}$-monoidal presheaf functors are canonically equivalent. |
| title | Uniqueness of monoidal adjunctions |
| topic | Category Theory Algebraic Topology 18N70 (primary), 18N60, 55U40 (secondary) |
| url | https://arxiv.org/abs/2302.02035 |