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 D248
G-delta set
Formulation 0
Let $T = (X, \mathcal{T})$ be a D1106: Topological space.
A D11: Set $E \subseteq X$ is a G-delta set in $T$ if and only if \begin{equation} \exists \, U_0, U_1, U_2, \dots \in \mathcal{T} : E = \bigcap_{n \in \mathbb{N}} U_n \end{equation}