ThmDex – An index of mathematical definitions, results, and conjectures.
Formulation F3846 on D249: F-sigma set
F3846
Formulation 0
Let $T = (X, \mathcal{T})$ be a D1106: Topological space such that
(i) $\mathcal{T}^{\text{op}}$ is the D2439: Set of closed sets in $T$
A D11: Set $E \subseteq X$ is an F-sigma set in $T$ if and only if \begin{equation} \exists \, F_0, F_1, F_2, \dots \in \mathcal{T}^{\text{op}} : E = \bigcup_{n \in \mathbb{N}} F_n \end{equation}