Let X be a topological spaceMathworldPlanetmath, let SX, and let xS. The point x is said to be an isolated point of S if there exists an open set UX such that US={x}.

The set S is isolated or discrete if every point in S is an isolated point.

Title isolated
Canonical name Isolated
Date of creation 2013-03-22 12:05:59
Last modified on 2013-03-22 12:05:59
Owner djao (24)
Last modified by djao (24)
Numerical id 8
Author djao (24)
Entry type Definition
Classification msc 54A05
Synonym discrete set
Defines isolated set
Defines isolated point