Is the following set is connected ?6

by legoh legoh   Last Updated September 13, 2017 14:20 PM

Is the following set is connected ? enter image description here

MY attempt : since the map is continious , so f^-1 (f-inverse) is open and dense, but main point is that f^-1(R-0) is open that is 0 is removed from the R. So the set K is not connceted and not path connected.

Is my answer is correct or not,,as i don't know the proper proof . PLiz help me and tell me the solution..

Related Questions

$\ell^{\infty}(\mathbb N)$ is not a separable space

Updated September 10, 2017 06:20 AM