Timeline for Model theory and dynamical system (open problems)
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 20, 2021 at 13:46 | comment | added | Alessandro Codenotti | Not a $\Bbb Z$-action but here is an important one: let $\mathcal F$ be a Fraïssé class in a finite relational language $L$ and let $\Bbb F$ be its Fraïssé limit. Must $\mathrm{Aut}(\Bbb F)$ have a metrizable universal minimal flow? More generally in the last ~15 years there has been a lot of interest in this kind of questions following the pubblication of the Kechris-Pestov-Todorcevic correspondence | |
| Jul 10, 2021 at 23:32 | comment | added | Alex Israel | I actually meant Z-action! | |
| Jul 10, 2021 at 23:15 | comment | added | tomasz | If by a "dynamical system" you mean a $\mathbf Z$-action, this is much more restricted. Otherwise, there are lots of problems and conjectures related to model-theoretic group actions (of type-definable groups or of automorphism groups). | |
| Jul 10, 2021 at 23:13 | comment | added | tomasz | Depending on what you mean by a "dynamical system", Vaught's conjecture might be the canonical example. | |
| Jul 9, 2021 at 20:38 | comment | added | YCor | Self-promotion: here's one dynamical open model-theoretic question. | |
| Jul 9, 2021 at 20:31 | review | First posts | |||
| Jul 9, 2021 at 23:29 | |||||
| Jul 9, 2021 at 20:30 | history | asked | Alex Israel | CC BY-SA 4.0 |