Timeline for detecting weak equivalences in a simplicial model category
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Sep 1, 2018 at 9:47 | vote | accept | Let | ||
| Sep 1, 2018 at 3:17 | comment | added | David White | Now that you know this subject is treated so nicely in Hirschhorn's Chapter 9, why don't you read it? The answer to your followup question is very close to the proposition in my answer. | |
| Aug 31, 2018 at 18:51 | comment | added | Let | Thank you! Just before accepting the answer, I would like to clarify some points. To conclude that $f:A\rightarrow B$ is a weak equivalence do we need to test for all fibrant objects R or it is enough to take one fibrant object in each equivalence classe? I do mean the following, $f:A\rightarrow B$ is a weak equivalence if the induced map $map_{M}(B,R)\rightarrow map_{M}(A,R)$ is a weak homotopy equivalence for any representative fibrant object $R$ ? | |
| Aug 31, 2018 at 18:10 | review | Low quality posts | |||
| Aug 31, 2018 at 18:52 | |||||
| Aug 31, 2018 at 17:51 | history | answered | David White | CC BY-SA 4.0 |