Clones from comonoids
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866913560217518080 |
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| author | Krähmer, Ulrich Mahaman, Myriam |
| author_facet | Krähmer, Ulrich Mahaman, Myriam |
| contents | The fact that the cocommutative comonoids in a symmetric monoidal category form the best possible approximation by a cartesian category is revisited when the original category is only braided monoidal. This leads to the question when the endomorphism operad of a comonoid is a clone (a Lawvere theory). By giving an explicit example, we prove that this does not imply that the comonoid is cocommutative. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2109_09634 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Clones from comonoids Krähmer, Ulrich Mahaman, Myriam Category Theory The fact that the cocommutative comonoids in a symmetric monoidal category form the best possible approximation by a cartesian category is revisited when the original category is only braided monoidal. This leads to the question when the endomorphism operad of a comonoid is a clone (a Lawvere theory). By giving an explicit example, we prove that this does not imply that the comonoid is cocommutative. |
| title | Clones from comonoids |
| topic | Category Theory |
| url | https://arxiv.org/abs/2109.09634 |