Timeline for An example of an open discontinuous function
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| May 30, 2018 at 6:52 | comment | added | Wlod AA | @DaveLRenfro, see your "here" for the Wacław Sierpiński's example. | |
| May 29, 2018 at 19:24 | comment | added | MSMalekan | @YCor Of course to get an open map, it is hinted in the mentioned exercise to consider $h\circ f$, where $h$ is any surjective continuous functions from $[0,1]$ on $\mathbb R$. | |
| May 29, 2018 at 18:30 | comment | added | Dave L Renfro | For what it's worth, this is often called the Cesàro-Vietoris function (see my various comments here also). | |
| May 29, 2018 at 16:33 | comment | added | YCor | $f$ should be valued in $[0,1]$ if you want it to be open. To have it open while valued in $\mathbf{R}$, change the values $0$, $1$ to $1/2$. | |
| May 29, 2018 at 15:15 | vote | accept | Serguei Popov | ||
| May 29, 2018 at 14:42 | history | answered | MSMalekan | CC BY-SA 4.0 |