Para construction for double categories
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918179160195072 |
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| author | Femić, Bojana |
| author_facet | Femić, Bojana |
| contents | We introduce Para and coPara double categories for double categories. They rely on a horizontal action $\crta\ot$ of a horizontally monoidal double category $\Mm$ on a double category $\Dd$. We prove a series of properties, most importantly, we characterize monoidality of $\coPara_\Mm(\Dd)$ in the way that it extends monoidality of $\Dd$ as: lax monoidality of the action $\crta\ot$; bistrong commutativity of $\crta\ot$; and purely central premonoidality of $\coPara_\Mm(\Dd)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_26465 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Para construction for double categories Femić, Bojana Category Theory We introduce Para and coPara double categories for double categories. They rely on a horizontal action $\crta\ot$ of a horizontally monoidal double category $\Mm$ on a double category $\Dd$. We prove a series of properties, most importantly, we characterize monoidality of $\coPara_\Mm(\Dd)$ in the way that it extends monoidality of $\Dd$ as: lax monoidality of the action $\crta\ot$; bistrong commutativity of $\crta\ot$; and purely central premonoidality of $\coPara_\Mm(\Dd)$. |
| title | Para construction for double categories |
| topic | Category Theory |
| url | https://arxiv.org/abs/2510.26465 |