\begin{definition}[Definition:Limit Point/Topology/Point]
Let $T = \struct {S, \tau}$ be a topological space.
Let $a \in S$.
A point $x \in S, x \ne a$ is a '''limit point of $a$''' {{iff}} every open neighborhood of $x$ contains $a$.
That is, it is a limit point of the singleton $\set a$.
Category:Definitions/Topology
Category:Definitions/Limit Points
\end{definition}