Definition:Adherent Point/Definition 3
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Definition
Let $T = \struct{S, \tau}$ be a topological space.
Let $H \subseteq S$.
A point $x \in S$ is an adherent point of $H$ if and only if every neighborhood $N$ of $x$ satisfies:
- $H \cap N \ne \O$
Also see
- Results about adherent points can be found here.
Sources
- 1971: William W. Fairchild and Cassius Ionescu Tulcea: Topology: $3$: Interior of a Set and Adherence of a Set, Definition $3.9$