Category:Limit Points

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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:

$A \cap \paren {U \setminus \set x} \ne \O$

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


This category has the following 7 subcategories, out of 7 total.