Definition:Limit Point/Topology/Set/Definition 3
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Definition
Let $T = \left({S, \tau}\right)$ be a topological space.
Let $A \subseteq S$.
A point $x \in S$ is a limit point of $A$ if and only if $x$ is an adherent point of $A$ but is not an isolated point of $A$.
Also see
- Equivalence of Definitions of Limit Point, which proves that this definition is equivalent to the Definition from Closure