ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Subset
Power set
Hyperpower set sequence
Hyperpower set
Hypersubset
Subset algebra
Subset structure
Topological space
Closure point
Set closure
Topologically dense set
Set of topologically dense sets
Definition D4812
Topological space density
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}