Timeline for Abelian category which is nice and its dual is also
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 9, 2017 at 10:02 | vote | accept | user49822 | ||
| Dec 5, 2017 at 16:23 | comment | added | fosco | Well, yeah, I shouldhave phrased the answer more on the lines of "although not the zero category, an AB5 and AB5* category tend to be quite trivial". | |
| Dec 5, 2017 at 14:06 | comment | added | Philippe Gaucher | @FoscoLoregian Not trivial in the sense of the question. If a category and its opposite are both locally presentable, it is a complete lattice. | |
| Dec 5, 2017 at 12:16 | answer | added | Fred Rohrer | timeline score: 4 | |
| Dec 5, 2017 at 8:41 | comment | added | fosco | If $C, C^{op}$ are both AB5 and they have a generator, then they are both locally finitely presentable. Categories such that $C,C^{op}$ are both locally presentable tend to be very trivial. | |
| Dec 4, 2017 at 19:17 | comment | added | Fred Rohrer | No, see page 129 of Grothendieck's Tohoku paper. | |
| Dec 4, 2017 at 19:10 | history | asked | user49822 | CC BY-SA 3.0 |