Compact complement topology

• abstract: In mathematics, the compact complement topology is a topology defined on the set \scriptstyle\mathbb{R} of real numbers, defined by declaring a subset \scriptstyle X \subseteq \mathbb{R} open if and only if it is either empty or its complement \scriptstyle\mathbb{R} \setminus X is compact in the standard Euclidean topology on \scriptstyle\mathbb{R}.

以上来源于: WordNet