Second-countable 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

Definition

A topological space is termed second-countable if it admits a countable basis.

Relation with other properties

Stronger properties

• Separable metrizable space
• Polish space

Weaker properties

• Separable space
• First-countable space