Eilenberg-Moore Bicategories for Opmonoidal Pseudomonads
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arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866909111419928576 |
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| author | Miranda, Adrian |
| author_facet | Miranda, Adrian |
| contents | We analyse compatibility between monads and monoidal structures in the two-dimensional setting. We describe sufficient conditions for monoidal structures to lift to the Eilenberg-Moore pseudoalgebras. We then extend these results to braids, syllapses and symmetries. To achieve these results we define the Gray-tensor product of pseudomonads, and examine its interaction with the Eilenberg-Moore construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_11703 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Eilenberg-Moore Bicategories for Opmonoidal Pseudomonads Miranda, Adrian Category Theory We analyse compatibility between monads and monoidal structures in the two-dimensional setting. We describe sufficient conditions for monoidal structures to lift to the Eilenberg-Moore pseudoalgebras. We then extend these results to braids, syllapses and symmetries. To achieve these results we define the Gray-tensor product of pseudomonads, and examine its interaction with the Eilenberg-Moore construction. |
| title | Eilenberg-Moore Bicategories for Opmonoidal Pseudomonads |
| topic | Category Theory |
| url | https://arxiv.org/abs/2402.11703 |