Q-set 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 discreteness. View other variations of discreteness

Definition

A topological space is termed a Q-set space or a Q-space if it satisfies the following equivalent conditions:

• Every subset is a $F_{\sigma }$-subset
• Every subset is a $G_{\delta }$-subset

Relation with other properties

Stronger properties

• Discrete space

Weaker properties

• Rarified space