Irreducible 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 irreducible if it is nonempty and cannot be expressed as a union of two proper closed subsets.

Relation with other properties

Weaker properties

• Noetherian space
• Connected space