Pascal triangle, Stirling numbers and the unique invariance of the Euler characteristic

Details Pascal triangle, Stirling numbers and the unique invariance of the Euler characteristic Pascal triangle, Stirling numbers and the unique invariance of the Euler characteristic

2012-02-03

arxiv.org/abs/1202.0663v1

Mathematics

Combinatorics

6 pages

Scientific paper

We use some basic properties of binomial and Stirling numbers to prove that
the Euler characteristic is, essentially, the unique numerical topological
invariant for compact polyhedra which can be expressed as a linear combination
of the numbers of faces of triangulations. We obtain this result converting it
into an eigenvalue problem.

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