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generic points (Definition)

Let $ X$ be a topological space and suppose that $ x\in X$. If for all $ y\in X\backslash\{x\}$ we have $ x\not\in\overline{\{y\}}$ then we say that $ x$ is a generic point.



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Also defines:  generic points
Keywords:  generization, specialization, generic points
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Cross-references: topological space
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This is version 3 of generic points, born on 2006-11-04, modified 2008-10-19.
Object id is 8513, canonical name is GenericPoints.
Accessed 1855 times total.

Classification:
AMS MSC: 54A05 (General topology :: Generalities :: Topological spaces and generalizations )
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