The term Euler characteristic is defined for several objects.
Next, if is a finite CW complex, let be the number of i-cells in . The Euler characteristic of is defined to be
If is a finite polyhedron, with triangulation , a simplicial complex, then the Euler characteristic of is . It can be shown that all triangulations of have the same value for so that this is well-defined.
Finally, if is a finitely generated graded group, then the Euler characteristic of is defined to be
|Date of creation||2013-03-22 16:12:51|
|Last modified on||2013-03-22 16:12:51|
|Last modified by||Mathprof (13753)|