Definition:Weight of Topological Space/Definition 2

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Definition

Let $T$ be a topological space.

Let $\mathbb B$ be the set of all bases of $T$.


The weight of $T$ is the smallest cardinality of the elements of $\mathbb B$:

$\map w T := \min \set {\card \BB: \BB \in \mathbb B}$


Also see


Sources