Irreducible space: Difference between revisions

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===Symbol-free definition===
===Symbol-free definition===


A [[topological space]] is said to be '''irreducible''' if it cannot be expressed as a union of proper closed subsets.
A [[topological space]] is said to be '''irreducible''' if it cannot be expressed as a union of two proper closed subsets.


==Relation with other properties==
==Relation with other properties==

Revision as of 08:14, 18 August 2007

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 cannot be expressed as a union of two proper closed subsets.

Relation with other properties

Weaker properties