ThmDex – An index of mathematical definitions, results, and conjectures.
▼ Set of symbols
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▼ Zermelo-Fraenkel set theory
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▼ Hyperpower set sequence
▼ Hyperpower set
▼ Hypersubset
▼ Subset algebra
Definition D3369
Subset structure
Formulation 0
An D548: Ordered pair $S = (X, \mathcal{S})$ is a subset structure if and only if
(1) $X$ is a D11: Set
(2) $\mathcal{S} \subseteq \mathcal{P}(X)$ (D3367: Subset algebra)
Also known as
Hypergraph
Children
▶ D1108: Measurable space
▶ D5638: Top subset structure of natural numbers
▶ D1106: Topological space