Timeline for Does every large $\mathbb{R}^4$ embed in $\mathbb{R}^5$?
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 22, 2019 at 0:54 | comment | added | Anubhav Mukherjee | I guess that is exactly the same argument mentioned by Ian Agol in the comment and a bit generalized result mentioned by Igor. | |
| May 21, 2019 at 21:14 | comment | added | Gro-Tsen | How about this: if $M$ is an exotic $\mathbb{R}^4$ then $M\times\mathbb{R}$ is homeomorphic to $\mathbb{R}^5$, but since there is a single differentiable structure on $\mathbb{R}^5$, it is diffeomorphic to it, and restricting such a diffeomorphism to the submanifold $M\times\{0\}$ gives a submanifold of $\mathbb{R}^5$ diffeomorphic to $M$. Did I say something stupid? (I suspect I did, but I can't see it.) | |
| May 21, 2019 at 12:08 | vote | accept | Michael Albanese | ||
| May 21, 2019 at 2:03 | answer | added | Igor Belegradek | timeline score: 21 | |
| May 21, 2019 at 1:30 | history | migrated | from math.stackexchange.com (revisions) | ||
| May 13, 2019 at 15:24 | history | asked | Michael Albanese | CC BY-SA 4.0 |