PlanetMath: generic points

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generic points

(Definition)

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

"generic points" is owned by jocaps.

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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 2 of generic points, born on 2006-11-04, modified 2006-11-05.
Object id is 8513, canonical name is GenericPoints.
Accessed 1687 times total.

Classification:

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

Pending Errata and Addenda

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