On the Bénabou-Roubaud theorem
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912331861065728 |
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| author | Kahn, Bruno |
| author_facet | Kahn, Bruno |
| contents | We give a detailed proof of the Bénabou-Roubaud theorem. As a byproduct it yields a weakening of its hypotheses: the base category does not need fibre products and the Beck-Chevalley condition, in the form of a natural transformation, can be weakened by only requiring the latter to be epi. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_00868 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Bénabou-Roubaud theorem Kahn, Bruno Category Theory 18D30, 18C15, 18F20 We give a detailed proof of the Bénabou-Roubaud theorem. As a byproduct it yields a weakening of its hypotheses: the base category does not need fibre products and the Beck-Chevalley condition, in the form of a natural transformation, can be weakened by only requiring the latter to be epi. |
| title | On the Bénabou-Roubaud theorem |
| topic | Category Theory 18D30, 18C15, 18F20 |
| url | https://arxiv.org/abs/2404.00868 |