Timeline for Is transfinite composition of weak equivalences of simplicial presheaves a weak equivalence?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 25, 2019 at 16:41 | vote | accept | L. Xie | ||
| Aug 25, 2019 at 5:50 | comment | added | Dmitri Pavlov | @Alexis: If X→LX is a local weak equivalence and LX is fibrant in the local model structure, then L must be the localization functor, i.e., LX is weakly equivalent to the left Bousfield localization of X, which is what they're proving in this proposition. | |
| Aug 25, 2019 at 4:28 | comment | added | L. Xie | Thanks! But in the proof I mentioned, why do they show that the functor takes value in fibrant objects? Could you please have a look at the place I edited? | |
| Aug 25, 2019 at 0:10 | history | answered | Dmitri Pavlov | CC BY-SA 4.0 |