# Category:Limit Points

This category contains results about Limit Points in the context of Topology.
Definitions specific to this category can be found in Definitions/Limit Points.

A point $x \in S$ is a limit point of $A$ if and only if every open neighborhood $U$ of $x$ satisfies:

$A \cap \left({U \setminus \left\{{x}\right\}}\right) \ne \varnothing$

That is, if and only if every open set $U \in \tau$ such that $x \in U$ contains some point of $A$ distinct from $x$.

## Subcategories

This category has the following 4 subcategories, out of 4 total.