generic point

Let X be a topological spaceMathworldPlanetmath and suppose that xX. If for all yX\{x} we have x{y}¯ then we say that x is a generic point. Equivalently, x is generic iff it is not a specialization point of any point in X, other than x itself.

Title generic point
Canonical name GenericPoint
Date of creation 2013-03-22 16:22:28
Last modified on 2013-03-22 16:22:28
Owner jocaps (12118)
Last modified by jocaps (12118)
Numerical id 8
Author jocaps (12118)
Entry type Definition
Classification msc 54A05
Defines generic point
Defines generic