Timeline for Stacks as local quotients or via atlases
Current License: CC BY-SA 4.0
2 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 18, 2019 at 1:27 | comment | added | Ben Wieland | By "Čech data" data do you mean an equivalence relation (or groupoid) on an atlas? You can form the formal quotient by groupoids without having an existing category of stacks for it to live in. It's really not that bad. Some people do it. I forget where, I want to say "non-commutative geometry," that that has another option of functions on the groupoid. Given a groupoid, you can define a subobject as an equivariant subobject. And then you can define morphisms between groupoids as subobjects of the quotient that look like graphs of morphisms. | |
| Nov 16, 2019 at 3:48 | history | answered | R. van Dobben de Bruyn | CC BY-SA 4.0 |