Timeline for Jordan Curve Homotopy
Current License: CC BY-SA 2.5
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 21, 2010 at 3:58 | comment | added | Kerry | Thanks! I looked at the picture in wikipedia, the mistake is obvious. | |
| Jul 21, 2010 at 3:56 | comment | added | Andy Putman | The intermediate steps of a straight-line homotopy will often have self-intersections. Draw some mildly complicated examples and you will see... | |
| Jul 21, 2010 at 3:53 | comment | added | Kerry | I don't know how to prove it be homeomorphic to $S_{1}$, but it should not have self-intersections. Yes I can't prove it must be a Jordan curve. | |
| Jul 21, 2010 at 3:52 | comment | added | Andy Putman | I sketched a proof that is somewhat similar to this in the comments above. A radial homotopy will not work, however. | |
| Jul 21, 2010 at 3:46 | comment | added | Mariano Suárez-Álvarez | But that will in general not result in a Jordan curve for all $r$. | |
| Jul 21, 2010 at 3:43 | history | answered | Kerry | CC BY-SA 2.5 |