Timeline for Generalized Jordan theorem and winding number
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 22, 2016 at 20:37 | vote | accept | Victor | ||
| Feb 22, 2016 at 20:37 | comment | added | Ryan Budney | The proof in the Guillemin and Pollack textbook provides this. Technically they are using mod-2 degrees in their proof but that is only because integer-valued degrees are not defined at that point. But if you re-do their proof using integer-valued degrees it gives you exactly what you want. | |
| Feb 22, 2016 at 20:34 | comment | added | Victor | Hi Ryan. I will check the references, but I am not convinced by your answer as the theorem in question only states that the complement consists of two regions - unbounded and bounded. It does not imply that the winding number is one for the points of the interior region. | |
| Feb 22, 2016 at 20:00 | history | answered | Ryan Budney | CC BY-SA 3.0 |