why fundamental group of of compact manifold is finitely presented

Every compact manifold has the homotopy type of a finite CWcomplex, and a finite CWcomplex has finitely presented fundamental group by van Kampen's theorem. 


why fundamental group of of compact manifold is finitely presented 


Every compact manifold has the homotopy type of a finite CWcomplex, and a finite CWcomplex has finitely presented fundamental group by van Kampen's theorem. 

