Let $T = (X, \mathcal{T})$ be a D1106: Topological space such that

(i)	$E \subseteq X$ is a D78: Subset

A D2218: Set element $x \in X$ is a limit point of $E$ in $T$ if and only if \begin{equation} \forall \, U \in \mathcal{T} \, (x \in U \quad \implies \quad \exists \, y \in X : y \in E \cap (U \setminus \{ x \})) \end{equation}

Let $T = (X, \mathcal{T})$ be a D1106: Topological space such that

(i)	$E \subseteq X$ is a D78: Subset

A D2218: Set element $x \in X$ is a limit point of $E$ in $T$ if and only if \begin{equation} \forall \, U \in \mathcal{T} \, (x \in U \quad \implies \quad \exists \, y \in X : y \in E \cap U \text{ and } x \neq y) \end{equation}