Extremally disconnected 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 an opposite of connectedness

Definition

Symbol-free definition

A topological space is said to be extremally disconnected if the closure of any open subset in it is open.

Relation with other properties

Stronger properties

• Discrete space

Weaker properties

• Moscow space