Some remarks on groupoids and small categories
| dc.creator | Ng, Chi-Keung | |
| dc.date | 2007-10-18 | |
| dc.date.accessioned | 2026-07-07T08:37:00Z | |
| dc.date.available | 2026-07-07T08:37:00Z | |
| dc.description | This unpublished note contains some materials taken from my old study note on groupoids and small categories. It contains a proof for the fact that any groupoid is a group bundle over an equivalence relation. Moreover, the action of a category $G$ on a category $H$ as well as the resulting semi-direct product category $H\times_αG$ will be defined (when either $G$ is a groupoid or $H^{(0)} = G^{(0)}$). If both $G$ and $H$ are groupoids, then $H\times_αG$ is also a groupoid. The reason of producing this note is for people who want to check some details in a recent work of Li. | |
| dc.description | 6 pages, unpublished note | |
| dc.identifier | https://arxiv.org/abs/0710.3426 | |
| dc.identifier | http://arxiv.org/abs/0710.3426 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140258 | |
| dc.subject | Category Theory | |
| dc.subject | Dynamical Systems | |
| dc.title | Some remarks on groupoids and small categories | |
| dc.type | text |