Collectionwise normal space
This article defines a property of topological spaces: a property that can be evaluated to true/false for any topological space|View a complete list of properties of topological spaces
This is a variation of normality. View other variations of normality
Definition
Symbol-free definition
A topological space is termed collectionwise normal if given any discrete collection of closed sets (viz., a disjoint collection of closed sets such that each is open in their union), there exists a family of pairwise disjoint open sets containing each of the closed sets.