Timeline for Fibered/cofibered higher categories, relative model structures, slicing, and (∞,2)-category theory
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 2, 2010 at 13:43 | comment | added | Jacob Lurie | If S is a point, then the Cartesian and coCartesian model structures coincide, so induce the same model structure after slicing at X. So the claim can't be true in general, since the Cartesian and coCartesian model structures on marked simplicial sets over X are generally different (they agree when X is a Kan complex). All of these model categories are closely related to the Joyal structure on simplicial sets, which is not right proper. It's generally a bad idea to slice them over non-fibrant objects. | |
| Dec 2, 2010 at 7:00 | comment | added | Harry Gindi | @Jacob: With respect to the first part, do you know of any counterexamples to the stronger claim (when they're not right fibrations, that is)? | |
| Dec 2, 2010 at 4:05 | vote | accept | Harry Gindi | ||
| Dec 2, 2010 at 4:04 | history | answered | Jacob Lurie | CC BY-SA 2.5 |