Timeline for Space of curves
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Feb 1, 2017 at 2:02 | comment | added | erz | Ok, triangle inequality holds indeed. How to show that this distance is $0$ implies curves being equal? | |
| Jan 31, 2017 at 20:09 | comment | added | erz | I am sorry, but I don't understand. This does not even describe all paths in a curve. Even if it did, I don't see how to show the triangle inequality, since we cannot "reconcile" different parametrizaions. | |
| Jan 31, 2017 at 17:48 | comment | added | Alexandre Eremenko | @erz: strictly or not, does not matter. I take sup over all continuous non-decreasing functions with $\phi(0)=0$ and $\phi(1)=1$. | |
| Jan 31, 2017 at 8:23 | comment | added | erz | what if $\phi$ is not strictly increasing? | |
| Jan 31, 2017 at 8:08 | history | answered | Alexandre Eremenko | CC BY-SA 3.0 |