Timeline for Existence of topologically transitive map on Euclidean space
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 14, 2020 at 6:48 | vote | accept | ABIM | ||
| Jun 14, 2020 at 4:42 | answer | added | erz | timeline score: 1 | |
| Jun 10, 2020 at 15:12 | comment | added | Andres Koropecki | It's overkill, but the answer to the post you cited in your question says that there is a Baire-generic subset of topologically mixing diffeomorphisms in the space of volume-preserving diffeomorphisms of any closed manifold of dimension greater than $1$. You can use this in the $n+1$-dimensional sphere. If you pick any diffeomorphism of this sphere with a hyperbolic fixed point, then arbitrarily close to it there is a topologically mixing diffeomorphism which still has a fixed point. Removing this point you get a topologically mixing (in particular transitive) diffeomorphism of $\mathbb{R}^n$ | |
| Jun 9, 2020 at 21:46 | history | edited | YCor | CC BY-SA 4.0 |
fixed English/removed capitals
|
| Jun 9, 2020 at 21:15 | history | asked | ABIM | CC BY-SA 4.0 |