Limit point

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This article is about a basic definition in topology.
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Template:Toposubspace-point property

Definition

Let X be a topological space, A a subset of X, and x \in X a point (x may or may not belong to A). We say that x is a limit point of A if given any open subset U \ni x in X, (U \setminus x) \cap A is nonempty.

Relation with other properties