Timeline for Notion of stack fibered in monoidal categories?
Current License: CC BY-SA 2.5
9 events
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| Apr 13, 2017 at 12:57 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Jul 11, 2010 at 18:57 | vote | accept | Jan Weidner | ||
| Jul 10, 2010 at 18:05 | comment | added | Jan Weidner | Thanks, so, I am a bit confused. The functor $E(X)\rightarrow Desc(X,U)$ is monoidal, so no extra condition is needed, since it is automatically an monoidal equivalence whenever it is an equivalence? | |
| Jul 10, 2010 at 14:29 | comment | added | Chris Schommer-Pries | @ Jan. Yes. If you have a monoidal functor, which is an equivalence of categories after forgetting the monoidal part, then it is in fact a monoidal equivalence. Hence fully-faithful and essentially surjective is enough. | |
| Jul 9, 2010 at 19:14 | comment | added | Jan Weidner | Yes, I also thought about this, however I was confused and saw a problem which was no problem. Do you know whether there is a criterion when s monoidal functor is an monoidal equivalence? Is full, faithful and essential surjective enough? | |
| Jul 9, 2010 at 16:52 | history | edited | Harry Gindi |
edited tags
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| Jul 9, 2010 at 15:46 | answer | added | David Carchedi | timeline score: 4 | |
| Jul 9, 2010 at 11:48 | comment | added | Jeffrey Giansiracusa | It looks like what you are asking for is that $E(X) \to Desc(X,U)$ is a monoidal equivalence. | |
| Jul 9, 2010 at 11:44 | history | asked | Jan Weidner | CC BY-SA 2.5 |