The List Object Endofunctor is Polynomial
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916663114334208 |
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| author | Desrochers, Samuel |
| author_facet | Desrochers, Samuel |
| contents | In this paper, we study the list object functor $L : \mathcal{C} \rightarrow \mathcal{C}$ for a general category $\mathcal{C}$ with finite limits and parametrized list objects. We show that $L$ is polynomial as long as $\mathcal{C}$ is extensive. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_20671 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The List Object Endofunctor is Polynomial Desrochers, Samuel Category Theory 18A40, 18B50, 03G30 In this paper, we study the list object functor $L : \mathcal{C} \rightarrow \mathcal{C}$ for a general category $\mathcal{C}$ with finite limits and parametrized list objects. We show that $L$ is polynomial as long as $\mathcal{C}$ is extensive. |
| title | The List Object Endofunctor is Polynomial |
| topic | Category Theory 18A40, 18B50, 03G30 |
| url | https://arxiv.org/abs/2503.20671 |