Timeline for Do we still need model categories?
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| Dec 7, 2017 at 16:53 | comment | added | Lennart Meier | What I wrote here 6 years ago, is actually a bit misleading. I was thinking of the way one assigns an $\infty$-category to a simplicial model category via the coherent nerve; here, one really passes first to bifibrant objects. But there are other ways to go from a model category to an $\infty$-category where actually the class of objects stays the same. | |
| Oct 21, 2011 at 14:16 | comment | added | Akhil Mathew | This is interesting. I guess maybe this is why in DAG I, Lurie constructs the $\infty$-category of spectra only by looking at $\Omega$-spectra. | |
| Oct 21, 2011 at 12:37 | history | answered | Lennart Meier | CC BY-SA 3.0 |