connected component

Two points x,y in a topological spaceMathworldPlanetmath X are said to be in the same connected componentMathworldPlanetmathPlanetmathPlanetmathPlanetmath if there exists a subspaceMathworldPlanetmathPlanetmath of X containing x and y which is connected. This relationMathworldPlanetmath is an equivalence relationMathworldPlanetmath, and the equivalence classesMathworldPlanetmath of X under this relation are called the connected components of X.

Title connected component
Canonical name ConnectedComponent
Date of creation 2013-03-22 12:00:21
Last modified on 2013-03-22 12:00:21
Owner djao (24)
Last modified by djao (24)
Numerical id 6
Author djao (24)
Entry type Definition
Classification msc 54D05