Definition:Condensation Point

Definition
Let $$X$$ be a topological space.

Let $$A \subseteq X$$.

A condensation point of $$A$$ is a limit point $$x$$ of $$A$$ such that every open set containing $$x$$ also contains an uncountable number of points of $$A$$.

Also see

 * Adherent Point
 * $\omega$-Accumulation Point