Definition:Condensation Point

Definition
Let $T = \struct {X, \tau}$ 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

 * Definition:Omega-Accumulation Point
 * Definition:Limit Point of Set
 * Definition:Adherent Point


 * Relationship between Limit Point Types