Timeline for Notion of a finite generator in an abelian category
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 27 at 0:28 | comment | added | Martin Brandenburg | Probably just means that the ind-category has a generator. | |
| Sep 16 at 14:21 | comment | added | Jannik Pitt | @R.vanDobbendeBruyn Yes, this is the reason I am interested in this: Generators in the context of a category not admitting arbitrary direct sums. | |
| Sep 16 at 14:12 | comment | added | R. van Dobben de Bruyn | Note that the first notion only makes sense if you know that $\mathscr A$ has arbitrary direct sums (at least of the same object), whereas the second notion implies that $\mathscr A$ is small (every object is the cokernel of some map $g^m \to g^n$, and presumably categories are always locally small). So the two criteria live in different worlds, so to speak. | |
| Sep 16 at 9:10 | history | asked | Jannik Pitt | CC BY-SA 4.0 |