Timeline for Quillen equivalence of diagram categories
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 15, 2013 at 7:01 | vote | accept | Rasmus | ||
| Jul 15, 2013 at 7:01 | vote | accept | Rasmus | ||
| Jul 15, 2013 at 7:01 | |||||
| Jul 12, 2013 at 21:50 | comment | added | Rasmus | I swear I had tried to find it there! It seems strange that he does not check the easier-to-check condition in terms of (trivial) fibrations. In any case, many thanks for your help @Fernando! | |
| Jul 12, 2013 at 21:44 | answer | added | Rasmus | timeline score: 1 | |
| Jul 12, 2013 at 21:35 | comment | added | Fernando Muro | Anyway, I've just found out that it is Proposition 15.4.1 in Hirschhorn's book. | |
| Jul 12, 2013 at 21:08 | comment | added | Fernando Muro | I'm not saying that pointwise cofibrant diagrams are cofibrant, but that cofibrant diagrams are pointwise cofibrant, see for instance Corollary 15.3.12 in Hirschhorn's book. That's enough, I think. | |
| Jul 12, 2013 at 20:58 | comment | added | Rasmus | The cofibrations can be defined pointwise if $B$ is inverse rather than direct. | |
| Jul 12, 2013 at 20:30 | comment | added | Baby Dragon | @FernandoMuro Do we want that fibrant objects in $D^B$ are pointwise fibrant, since the OP write that "weak equivalences and fibrations are defined pointwise"? | |
| Jul 12, 2013 at 20:27 | comment | added | Fernando Muro | I think it follows easily from the definition and from the fact that a cofibrant object in $C^B$ is pointwise cofibrant. | |
| Jul 12, 2013 at 19:46 | comment | added | Rasmus | (If the question is too basic, please feel free to migrate it over to MSE!) | |
| Jul 12, 2013 at 19:25 | history | asked | Rasmus | CC BY-SA 3.0 |