Perfect 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

Symbol-free definition

A topological space is said to be perfect if every point in it is closed, and further, every point is a $G_{\delta }$-set.

Relation with other properties

Stronger properties

• Perfectly normal space

Weaker properties

• T1 space