Definition:Generic Point of Topological Space/Definition 1

Definition

Let $T = \struct{S, \tau}$ be a topological space.

Let $x \in S$ be an element of $S$.

The point $x$ is a generic point of $T$ if and only if the closure of the singleton $\set x$ is $S$.

Also see

• Definition:Generic Point of Topological Space/Definition 2

• Equivalence of Definitions of Generic Point of Topological Space

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