▾ 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
Discrete topological space
Formulation 0
An D548: Ordered pair $T = (X, \mathcal{T})$ is a discrete topological space if and only if
(1) $X$ is a D11: Set
(2) $\mathcal{T} = \mathcal{P}(X)$ (D134: Discrete topology)