# Category:Condensation Points

Jump to navigation
Jump to search

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

Let $T = \left({X, \tau}\right)$ 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 8 pages are in this category, out of 8 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