\begin{definition}[Definition:Isolated Point (Topology)/Space]
Let $T = \struct {S, \tau}$ be a topological space.
$x \in S$ is an '''isolated point of $T$''' {{iff}}:
:$\exists U \in \tau: U = \set x$
That is, {{iff}} there exists an open set of $T$ containing no points of $S$ other than $x$.
\end{definition}