Timeline for Optimal $\delta$ for Gromov's $\delta$-hyperbolicity of the hyperbolic plane
Current License: CC BY-SA 4.0
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 31, 2020 at 5:45 | vote | accept | popstack | ||
| Dec 30, 2020 at 18:55 | answer | added | Moishe Kohan | timeline score: 8 | |
| Dec 29, 2020 at 15:59 | answer | added | Sam Nead | timeline score: 7 | |
| Dec 29, 2020 at 10:38 | comment | added | Benoît Kloeckner | For this, you could get points to go to infinity one at a time, using Buseman functions (which are limits of différence between distance functions). | |
| Dec 29, 2020 at 10:37 | comment | added | Benoît Kloeckner | @dodd: ThiKu certainly meant to consider the limit as point go to infinity of the difference $d(w,z)+d(y,z)-\max\{d(x,y)+d(w,z),d(x,z)+d(w,y)\}$. | |
| Dec 29, 2020 at 10:16 | history | edited | YCor |
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| Dec 29, 2020 at 7:36 | comment | added | markvs | @ThiKu: You do not want any of the four distances to be $\infty$. | |
| Dec 29, 2020 at 7:18 | comment | added | ThiKu | If you take 4 points at infinity, their only invariant is the cross ratio. So it should be possible to compute $\delta$ as a function of the cross ratio and find its minimum. | |
| Dec 29, 2020 at 6:40 | comment | added | markvs | Take 4 points far apart and compute the difference. | |
| Dec 29, 2020 at 5:23 | history | asked | popstack | CC BY-SA 4.0 |