PlanetMath: irreducible component

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irreducible component

(Definition)

An irreducible component of a topological space is a maximal irreducible subset.

If a subset is irreducible, its closure is, so irreducible components are closed.

"irreducible component" is owned by nerdy2. [ full author list (2) | owner history (1) ]

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Cross-references: closed, closure, subset, irreducible, topological space
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This is version 3 of irreducible component, born on 2002-06-14, modified 2002-08-23.
Object id is 3107, canonical name is IrreducibleComponent.
Accessed 2918 times total.

Classification:

AMS MSC:	54B05 (General topology :: Basic constructions :: Subspaces)
	14A10 (Algebraic geometry :: Foundations :: Varieties and morphisms)
	14A15 (Algebraic geometry :: Foundations :: Schemes and morphisms)

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