Timeline for Bounds on homological dimension of functor categories
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 13, 2021 at 15:13 | vote | accept | Piotr Pstrągowski | ||
| Apr 8, 2021 at 22:23 | history | became hot network question | |||
| Apr 8, 2021 at 15:37 | answer | added | Gregory Arone | timeline score: 5 | |
| Apr 8, 2021 at 15:09 | comment | added | Maxime Ramzi | So you want something like a cohomological bound on $Tw(I)$, namely you want the derived limit functors to always vanish above some degree. It will also be related to $|I|$, which you want to have finite cohomological dimension, and the derived limit functors on $I$, which you also wanto vanish above some degree.For the latter two, some bound on the dimension of $I$ is enough, but I'm not sure about the first one | |
| Apr 8, 2021 at 15:09 | comment | added | Gregory Arone | Suppose the simplicial nerve of $I$ has simplicial dimension $m$. Maybe I am confused, but it seems to me that in this case Fun$(I, A)$ has global dimension $m+n$. | |
| Apr 8, 2021 at 14:22 | history | asked | Piotr Pstrągowski | CC BY-SA 4.0 |