It is written in this article that "a non-scattered Čech-complete space, contains a compact subspace which can be continuously mapped onto the Cantor-set".
Can anyone explain this? I mean, if, $X$ is not scattered, then it contains a non-empty subset which is dense-in-itself. So, how can it be continuously mapped onto the Cantor set? Isn't the Cantor set scattered?
Thank you!