Timeline for What are the fibrant objects in the injective model structure?
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 22, 2009 at 12:09 | vote | accept | Chris Schommer-Pries | ||
| Dec 22, 2009 at 1:01 | comment | added | Mark Hovey | This is the answer I agree with the most. There just is not going to be a good answer to this question in general, I don't think. You are going to need specific properties of your category C. Just think; you need the right lifting property with respect to every levelwise trivial cofibration A --> B of diagrams. For this to work, you are going to need some characterization of such levelwise trivial cofibrations, along the lines of Baer's criterion for injectivity of modules over a ring. | |
| Dec 21, 2009 at 21:10 | comment | added | Chris Schommer-Pries | Well, it would answer the first part of my question, but maybe there are still some sufficient conditions which guarantee that a given simplicial sheaf is fibrant, no? There seem to be lots of necessary conditions floating around but not so many examples or sufficient conditions. | |
| Dec 21, 2009 at 20:11 | history | answered | user2146 | CC BY-SA 2.5 |