# Category:Condensation Points

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This category contains results about **Condensation Points** in the context of **Topology**.

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 $A$.

## Pages in category "Condensation Points"

The following 10 pages are in this category, out of 10 total.

### S

- Set of Condensation Points is Monotone
- Set of Condensation Points is Subset of Derivative
- Set of Condensation Points of Countable Set is Empty
- Set of Condensation Points of Countable Set is Empty/Lemma
- Set of Condensation Points of Union is Union of Sets of Condensation Points
- Set of Condensation Points of Union is Union of Sets of Condensation Points/Lemma
- Set together with Condensation Points is not necessarily Closed