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

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arxiv 1202.0663 v1 pith:UZZHMM4V submitted 2012-02-03 math.CO math.GT

Ana Luzón , Manuel A. Morón This is my paper · ORCID
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keywords numberscharacteristiceulerstirlinguniquebasicbinomialcombination
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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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  1. Dehn Sommerville Manifolds

    math.CO 2025-08 reject novelty 6.0 of 10

    Dehn-Sommerville manifolds form a broad class of finite simplicial complexes that the paper claims to endow with Dehn-Sommerville face symmetries, level-set closure, chromatic bound 2q+2, and monoid closure under joins.

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