Definition:Adherent Point/Definition 1
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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 open neighborhood $U$ of $x$ satisfies:
- $H \cap U \ne \O$
Also see
- Results about adherent points can be found here.
Sources
- 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.) ... (previous) ... (next): Part $\text I$: Basic Definitions: Section $1$: General Introduction: Limit Points