Betti number

Let $X$ denote a topological space, and let $H_k(X,\mathbb{Z})$ denote the $k$-th homology group of $X$. If $H_k(X,\mathbb{Z})$ is finitely generated, then its rank is called the $k$-th Betti number 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	homology
Related topic	HomologyTopologicalSpace