Definition:Generic Point of Topological Space/Definition 2

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 $x$ is contained in every non-empty open subset of $T$.

Also see

• Equivalence of Definitions of Generic Point of Topological Space

• Results about generic points of topological spaces can be found here.

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