\begin{definition}[Definition:Limit Point/Topology/Set/Definition 4]
Let $T = \left({S, \tau}\right)$ be a topological space.
Let $A \subseteq S$.
A point $x \in S$ is a '''limit point of $A$''' {{iff}} $\left({S \setminus A}\right) \cup \left\{{x}\right\}$ is ''not'' a neighborhood of $x$.
\end{definition}