Timeline for partial pullback-completion of a category
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 29, 2015 at 20:07 | comment | added | Mike Shulman | @YitzhakZ yes, there is. The yoneda embedding preserves all limits that exist in C, whereas it is the free cocompletion, meaning that it preserves almost no colimits that exist in C. The opposite Yoneda embedding has the opposite properties. | |
| May 28, 2015 at 17:44 | comment | added | Yitzhak Z | is there any difference (regarding completions of categories) between using the yoneda embedding $C\to [C^{op},\mathbf{Set}]$ and the opposite co-yoneda embedding $C\to [C,\mathbf{Set}]^{op}$? | |
| May 27, 2015 at 20:36 | history | answered | Mike Shulman | CC BY-SA 3.0 |