# Pseudonormal space

From Topospaces

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

## Contents

## 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.