ThmDex – An index of mathematical definitions, results, and conjectures.
Result R3944 on D97: Open set
Open set iff equal to interior
Formulation 0
Let $T = (X, \mathcal{T})$ be a D1106: Topological space such that
(i) $U \subseteq X$ is a D78: Subset
Then $U \in \mathcal{T}$ if and only if \begin{equation} \mathsf{int} (U) = U \end{equation}