Timeline for When a model category with prescribed homotopy category exists?
Current License: CC BY-SA 4.0
4 events
| when toggle format | what | by | license | comment | |
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| Dec 31, 2022 at 23:20 | vote | accept | Grisha Taroyan | ||
| Dec 31, 2022 at 23:20 | |||||
| Dec 23, 2022 at 11:39 | comment | added | Grisha Taroyan | I guess the complete answer for me would be some results analogous to Muro, Schwede, and Strickland, but in the unstable case. | |
| Dec 23, 2022 at 11:36 | comment | added | Grisha Taroyan | Thank you so much! The paper you linked is very interesting and partially answers my question. This question about concreteness was just an example of when some categories do not lie in the image of the homotopy category functor for some model categories. I guess I was just curious does that mean that there is no model category such that its homotopy category is a given concrete category with a given module structure? As you correctly assumed, it is not essential to the discussion. | |
| Dec 23, 2022 at 2:13 | history | answered | Tim Campion | CC BY-SA 4.0 |