Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.12924 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911845942558720 |
|---|---|
| author | Tataru, Calin |
| author_facet | Tataru, Calin |
| contents | We show that the category of partially ordered sets $\mathsf{Pos}$ is equivalent to the free conservative cocompletion of the category of finite non-empty totally ordered sets $Δ$, which is also known as the simplex category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12924 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Partial orders are the free conservative cocompletion of total orders Tataru, Calin Category Theory We show that the category of partially ordered sets $\mathsf{Pos}$ is equivalent to the free conservative cocompletion of the category of finite non-empty totally ordered sets $Δ$, which is also known as the simplex category. |
| title | Partial orders are the free conservative cocompletion of total orders |
| topic | Category Theory |
| url | https://arxiv.org/abs/2404.12924 |