ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
▼ Alphabet
▼ Deduction system
▼ Theory
▼ Zermelo-Fraenkel set theory
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▼ 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)