Frobenius objects in the category of relations
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866917766530859008 |
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| author | Mehta, Rajan Amit Zhang, Ruoqi |
| author_facet | Mehta, Rajan Amit Zhang, Ruoqi |
| contents | We give a characterization, in terms of simplicial sets, of Frobenius objects in the category of relations. This result generalizes a result of Heunen, Contreras, and Cattaneo showing that special dagger Frobenius objects in the category of relations are in correspondence with groupoids. As an additional example, we construct a Frobenius object in the category of relations whose elements are certain cohomology classes in a compact oriented Riemannian manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1907_00702 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Frobenius objects in the category of relations Mehta, Rajan Amit Zhang, Ruoqi Category Theory Mathematical Physics 18B10, 18B40, 18D35, 18G30, 20L05, 57R56 We give a characterization, in terms of simplicial sets, of Frobenius objects in the category of relations. This result generalizes a result of Heunen, Contreras, and Cattaneo showing that special dagger Frobenius objects in the category of relations are in correspondence with groupoids. As an additional example, we construct a Frobenius object in the category of relations whose elements are certain cohomology classes in a compact oriented Riemannian manifold. |
| title | Frobenius objects in the category of relations |
| topic | Category Theory Mathematical Physics 18B10, 18B40, 18D35, 18G30, 20L05, 57R56 |
| url | https://arxiv.org/abs/1907.00702 |