\begin{definition}[Definition:Limit Point/Topology/Set/Definition 5]
Let $T = \left({S, \tau}\right)$ be a topological space.
Let $A \subseteq S$.
{{questionable|this definition is not equivalent to the others}}
A point $x \in S$ is a '''limit point of $A$''' if there is a sequence $\left\langle{x_n}\right\rangle$ in $A$ such that $x$ is a limit point of $\left\langle{x_n}\right\rangle$, considered as sequence in $S$.
Category:Definitions/Limit Points
\end{definition}