Definition:Omega-Accumulation Point

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

Let $A \subseteq S$.

An $\omega$-accumulation point of $A$ is a limit point $x$ of $A$ such that every open set containing $x$ also contains an infinite number of points of $A$.

Also see

  • Results about $\omega$-accumulation points can be found here.