Timeline for Diffeology as a sheaf on the site of smooth manifolds
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 4, 2013 at 21:57 | comment | added | David Carchedi | You can also piggyback from the $n=1$ case, by taking the Jardine model structure on simplicial sheaves (for hypersheaves), and left Bousfield localizing to recover the 1-truncated objects (the stacks of groupoids). Since the two categories of simplicial sheaves would become equivalent (as 1-categories), in particular you get a Quillen equivalence, and hence an equivalence between their 2-categories of stacks. | |
| Jul 27, 2013 at 16:01 | vote | accept | Eugene Lerman | ||
| Jul 27, 2013 at 10:22 | comment | added | Marc Hoyois | Actually Metzler references J. Giraud, Cohomologie non abélienne, p. 91, where the special case $n=2$ is proved (even for stacks of categories). | |
| Jul 27, 2013 at 8:30 | comment | added | Marc Hoyois | I don't know any other reference, sorry. | |
| Jul 26, 2013 at 19:41 | comment | added | Eugene Lerman | Thanks. Would you know of a more "elementary" reference for part 2 of my question? | |
| Jul 26, 2013 at 19:35 | vote | accept | Eugene Lerman | ||
| Jul 26, 2013 at 19:35 | |||||
| Jul 26, 2013 at 18:45 | history | answered | Marc Hoyois | CC BY-SA 3.0 |