Definition:Density of Topological Space

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Definition

Let $T$ be a topological space.

The density of $T$ is the smallest cardinality of dense subset of $T$:

$d \left({T}\right) := \min \left\{{\left\vert{A}\right\vert: A \subseteq T \land A}\right.$ is dense$\left.{}\right\}$


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