path component

Two points x,y in a topological spaceMathworldPlanetmath X are said to be in the same path component if there exists a path from x to y in X. The equivalence classesMathworldPlanetmathPlanetmath of X under this equivalence relation are called the path components of X.

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