Timeline for When does local invertibility imply invertibility?
Current License: CC BY-SA 2.5
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 31, 2009 at 7:07 | answer | added | Richard Montgomery | timeline score: 5 | |
| Dec 31, 2009 at 2:25 | comment | added | Hunter Brooks | I'm having a hard time seeing why continuous (surjective) functions from R to R don't work. Is there a standard counterexample that forces you to restrict to differentiable ones? It seems like a continuous function is locally invertible iff locally monotone iff globally monotone iff globally invertible. And the set-theoretic inverse of an invertible continuous map R-->R is continuous. | |
| Dec 30, 2009 at 22:45 | answer | added | Olivier Benoist | timeline score: 7 | |
| Dec 30, 2009 at 19:07 | answer | added | Dmitri Panov | timeline score: 4 | |
| Dec 30, 2009 at 18:56 | answer | added | Deane Yang | timeline score: 3 | |
| Dec 30, 2009 at 18:15 | answer | added | Leandro Arosio | timeline score: 5 | |
| Dec 30, 2009 at 17:03 | answer | added | macbeth | timeline score: 2 | |
| Dec 30, 2009 at 15:56 | history | asked | Andrew Stacey | CC BY-SA 2.5 |