Definition:Basis (Topology)/Analytic Basis/Definition 2

Definition

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

Let $\BB \subseteq \tau$.

Then $\BB$ is an analytic basis for $\tau$ if and only if:

$\forall U \in \tau: \forall x \in U: \exists V \in \BB: x \in V \subseteq U$

Also see

• Equivalence of Definitions of Analytic Basis

• Results about analytic bases can be found here.

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