Separable 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 countability. View other variations of countability

Definition

Symbol-free definition

A topological space is said to be separable if it has a countable dense subset.

Relation with other properties

Stronger properties

• Second-countable space
• Polish space