Timeline for What is the total space of a stack after all?
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 5, 2023 at 14:09 | vote | accept | მამუკა ჯიბლაძე | ||
| Aug 1, 2017 at 4:31 | comment | added | Mike Shulman | @მამუკაჯიბლაძე I don't find it strange or disappointing. When you stackify, you add in new objects by gluing old ones; but when an object is obtained by gluing others together, then the value of a sheaf on that object is uniquely determined by its value on the objects glued together, exactly by the sheaf property. | |
| Jul 31, 2017 at 20:39 | comment | added | მამუკა ჯიბლაძე | Still strange - it means that if you are only interested in sheaves, you do not even need to stackify | |
| Jul 31, 2017 at 20:27 | comment | added | მამუკა ჯიბლაძე | I see... disappointing, but I should know this. I believe I've also seen somewhere that in some precise sense objects of the associated stack are presheaves locally isomorphic to representables (or maybe also retracts, because of the Cauchy completion). I guess this might be equivalent to the existence of a zigzag of fully faithful essentially surjectives? | |
| Jul 31, 2017 at 20:13 | history | answered | Mike Shulman | CC BY-SA 3.0 |