Timeline for Is every real n-manifold isomorphic to a quotient of $\mathbb{R}^n$?
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 14, 2010 at 21:17 | comment | added | Bruno Martelli | (simply take $R$ to be the diameter of $M$) | |
| Nov 14, 2010 at 21:15 | comment | added | Bruno Martelli | Ah ah you are right! :-D We must restrict the exponential map to a disc centered in the origin of radius $R$: since $M$ is compact there is a $R$ such that this restriction is still surjective. | |
| Nov 14, 2010 at 15:19 | comment | added | Mariano Suárez-Álvarez | Yet the tangent space is not compact! :) | |
| Nov 13, 2010 at 21:23 | history | answered | Bruno Martelli | CC BY-SA 2.5 |