ThmDex – An index of mathematical definitions, results, and conjectures.
Result R4187 on D248: G-delta set
Complement of an F-sigma set is a G-delta set
Formulation 0
Let $T = (X, \mathcal{T})$ be a D1106: Topological space such that
(i) $E \subseteq X$ is a D249: F-sigma set in $T$
(ii) $X \setminus E$ is the D79: Set complement of $E$ within $X$
Then $X \setminus E$ is a D248: G-delta set in $T$.