Extremally disconnected space

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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

Weaker properties