Uniqueness and $(\infty,2)$-Naturality of Yoneda
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866916916695662592 |
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| author | Ben-Moshe, Shay |
| author_facet | Ben-Moshe, Shay |
| contents | We show that the Yoneda embedding extends to an $(\infty,2)$-natural transformation. Furthermore, as such, it is uniquely determined by its value at the trivial $\infty$-category. We also study the naturality of the Yoneda lemma in its arguments, showing that it is an isomorphism of $(\infty,2)$-natural transformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_08799 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniqueness and $(\infty,2)$-Naturality of Yoneda Ben-Moshe, Shay Category Theory Algebraic Topology We show that the Yoneda embedding extends to an $(\infty,2)$-natural transformation. Furthermore, as such, it is uniquely determined by its value at the trivial $\infty$-category. We also study the naturality of the Yoneda lemma in its arguments, showing that it is an isomorphism of $(\infty,2)$-natural transformations. |
| title | Uniqueness and $(\infty,2)$-Naturality of Yoneda |
| topic | Category Theory Algebraic Topology |
| url | https://arxiv.org/abs/2405.08799 |