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
Definition D1110
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)