Betti number

Let X denote a topological spaceMathworldPlanetmath, and let Hk(X,) denote the k-th homology groupMathworldPlanetmath of X. If Hk(X,) is finitely generatedMathworldPlanetmath, then its rank is called the k-th Betti numberMathworldPlanetmath of X.

Title Betti number
Canonical name BettiNumber
Date of creation 2013-03-22 13:47:14
Last modified on 2013-03-22 13:47:14
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 6
Author mathcam (2727)
Entry type Definition
Classification msc 55N10
Related topic homologyMathworldPlanetmath
Related topic HomologyTopologicalSpace