Euler Characteristic

Natural & Formal Sciences Dictionary
An integer-valued topological invariant of a finite cell complex or polyhedral surface given combinatorially as the alternating sum of the counts of cells of each dimension (commonly V−E+F for planar polyhedra).

Euler Characteristic

- Natural & Formal Sciences -
Mathematics & Logic Dictionary
Topological invariant given, for a finite cell decomposition or finite CW complex, by the alternating sum of the numbers of cells in each dimension; equivalently the alternating sum of the ranks of homology groups for suitable spaces.