Definition:Limit Point/Filter Basis/Definition 2

Definition
Let $T = \struct {S, \tau}$ be a topological space.

Let $\FF$ be a filter on the underlying set $S$ of $T$.

Let $\BB$ be a filter basis of $\FF$.

A point $x \in S$ is called a limit point of $\BB$ every neighborhood of $x$ contains a set of $\BB$.

Also see

 * Equivalence of Definitions of Limit Point of Filter Basis