Limit point
= Limit point
{wiki}
= Accumulation point
{synonym}
A <limit point> of a <subset> $A$ of a <topological space> is a point $x$ whose every <neighbourhood> meets $A\setminus\{x\}$. Thus $1$ is a <limit point> of $[0,1)$ in the <real line>, even though $1\notin[0,1)$. In contrast, an <isolated point> of $A$ belongs to its <closure> but is not a <limit point> of $A$. This distinction separates <limit points> from the more inclusive notion of an <adherent point>.