ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F6941 on D4812: Topological space density
F6941
Formulation 0
Let $T = (X, \mathcal{T})$ be a D1106: Topological space such that
(i) $\mathcal{D} = \mathcal{D}(T)$ is the D3111: Set of topologically dense sets in $T$
The density of $T$ is the D15: Set cardinality \begin{equation} \inf_{D \in \mathcal{D}} |D| \end{equation}