Pseudonormal 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 said to be pseudonormal if it is T1 and given two disjoint closed subsets, at least one of which is countable, there are disjoint open sets containing them.

Relation with other properties

Stronger properties

• Normal space

Weaker properties

• Regular space