characterization of connected compact metric spaces.

Let (A,d) be a compact metric space. Then A is connected x,yA,ε>0n,and p1,,pnA,such that p1=x,pn=yand d(pi,pi+1)<ε(i=1,,n-1)

Title characterizationMathworldPlanetmath of connected compact metric spaces.
Canonical name CharacterizationOfConnectedCompactMetricSpaces
Date of creation 2013-03-22 14:05:37
Last modified on 2013-03-22 14:05:37
Owner gumau (3545)
Last modified by gumau (3545)
Numerical id 12
Author gumau (3545)
Entry type TheoremMathworldPlanetmath
Classification msc 54A05
Related topic LadderConnected