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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.07766 |
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| _version_ | 1866917799976239104 |
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| author | Kadhi, Fethi |
| author_facet | Kadhi, Fethi |
| contents | We consider a closed symmetric monoidal category $\mathcal{M}$. We show that if $I$ is a small category then $\mathcal{M}^I$ is a closed $\mathcal{M}$-module. We rewrite the Yoneda Lemma in the case of monoidal valued functors. We derive an adjoint functor theorem and we show that $\mathcal{M}^I$ is a closed symmetric monoidal category |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_07766 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Lemme de Yoneda pour les foncteurs à valeurs monoidales Kadhi, Fethi Category Theory We consider a closed symmetric monoidal category $\mathcal{M}$. We show that if $I$ is a small category then $\mathcal{M}^I$ is a closed $\mathcal{M}$-module. We rewrite the Yoneda Lemma in the case of monoidal valued functors. We derive an adjoint functor theorem and we show that $\mathcal{M}^I$ is a closed symmetric monoidal category |
| title | Lemme de Yoneda pour les foncteurs à valeurs monoidales |
| topic | Category Theory |
| url | https://arxiv.org/abs/2410.07766 |