Timeline for covering convex sets by round balls
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 8, 2016 at 16:16 | comment | added | Paata Ivanishvili | Thanks. It was only helpful to verify the statement in $\mathbb{R}^{2}$ and $\mathbb{R}^{3}$. But in general I agree with you. | |
| Oct 8, 2016 at 13:30 | vote | accept | Misha | ||
| Oct 8, 2016 at 8:20 | comment | added | Fedor Petrov | @PaataIvanisvili just a note: since dimension $n$ is arbitrary, this does not look very helpful, we may always assume that $|X|\leqslant n+1$ simply by embedding $E^n\subset E^{|X|-1}$. This is why we could expect a dimension-free proof, like that given below, a priori. | |
| Oct 8, 2016 at 6:08 | answer | added | Fedor Petrov | timeline score: 14 | |
| Oct 8, 2016 at 2:40 | comment | added | Paata Ivanishvili | By Caratheodory's theorem it is enough to consider only the case when $X$ has $n+1$ points. | |
| Oct 8, 2016 at 1:24 | history | asked | Misha | CC BY-SA 3.0 |