Timeline for Function $g:\mathbb{R}\to \mathbb{R}^n$ such that $g(\sum_{i=1}^nx_i)=(x_1,\dotsc,x_n)$ a.e
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 9 at 13:25 | vote | accept | rfloc | ||
| Oct 9 at 5:51 | comment | added | Fedor Petrov | If $A$ is not null, it contains a bounded subset $A_1$ which is not null. If you consider only translates of $A_1$ on vectors of length at most 1,you can not have more then finitely if them which are disjoint, by pigeonhole principle | |
| Oct 9 at 3:40 | comment | added | rfloc | The set of all $v\in\mathbb{R}^n$ with $\sum v=0$ has measure zero. Are you certain that what you wrote is in fact true? | |
| Oct 9 at 1:16 | comment | added | rfloc | Could please explain why $A$ is necessarily null? | |
| Oct 9 at 1:07 | history | answered | Wojowu | CC BY-SA 4.0 |