Partial groups as symmetric simplicial sets
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866910862904655872 |
|---|---|
| author | Hackney, Philip Lynd, Justin |
| author_facet | Hackney, Philip Lynd, Justin |
| contents | We give a new characterization of partial groups as a subcategory of symmetric (simplicial) sets. This subcategory has an explicit reflection, which permits one to compute colimits in the category of partial groups. We also introduce the notion of a partial groupoid, which encompasses both groupoids and partial groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_01513 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Partial groups as symmetric simplicial sets Hackney, Philip Lynd, Justin Group Theory Algebraic Topology Category Theory 18N50, 20N99, 18A30, 18A40 (Primary) 18F20, 20D20, 20L05, 55U10 (Secondary) We give a new characterization of partial groups as a subcategory of symmetric (simplicial) sets. This subcategory has an explicit reflection, which permits one to compute colimits in the category of partial groups. We also introduce the notion of a partial groupoid, which encompasses both groupoids and partial groups. |
| title | Partial groups as symmetric simplicial sets |
| topic | Group Theory Algebraic Topology Category Theory 18N50, 20N99, 18A30, 18A40 (Primary) 18F20, 20D20, 20L05, 55U10 (Secondary) |
| url | https://arxiv.org/abs/2310.01513 |