\begin{definition}[Definition:Scattered Space/Definition 2]
A topological space $T = \left({S, \tau}\right)$ is '''scattered''' {{iff}} it contains no non-empty closed set which is dense-in-itself.
That is, $T = \left({S, \tau}\right)$ is '''scattered''' {{iff}} every non-empty closed set $H$ of $S$ contains at least one point which is isolated in $H$.
\end{definition}