Definition:Limit Point/Filter

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Let $T = \left({S, \tau}\right)$ be a topological space.

Let $\mathcal F$ be a filter on $S$.

A point $x \in S$ is called a limit point of $\mathcal F$ if and only if $\mathcal F$ is finer than the neighborhood filter of $x$.

Also see

  • Results about filters can be found here.