Irreducible space: Difference between revisions
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{{topospace property}} | {{topospace property}} | ||
== Definition == | ==Definition== | ||
=== Symbol-free definition === | ===Symbol-free definition=== | ||
A [[ | 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 == | ==Relation with other properties== | ||
=== Weaker properties === | ===Weaker properties=== | ||
* [[Noetherian space]] | * [[Noetherian space]] | ||
* [[Connected space]] | * [[Connected space]] | ||
Revision as of 19:53, 13 January 2008
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.