Timeline for Boundary of the image of a projection
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 16, 2017 at 15:51 | comment | added | Nick L | For this hypothesis let $f$ be the projection to the circle and $U$ an open disk of radius more than $1$ (minus the origin!). | |
| May 16, 2017 at 15:22 | comment | added | Curiosity | So the second hypothesis beside that $f$ is non constant that is $U$ is bounded. | |
| May 16, 2017 at 13:25 | comment | added | Nick L | Actually, I guess my guess is wrong for the reason that we can take $U$ with empty boundary. I mean, standard projection $\mathbb{R}^2 \rightarrow \mathbb{R}^1$ would have been an easier counter-example. (Maybe also could assume $U$ has non-empty boundary...). | |
| May 16, 2017 at 12:56 | history | answered | Nick L | CC BY-SA 3.0 |