Unusual formulae for the Euler characteristic

Details Unusual formulae for the Euler characteristic Unusual formulae for the Euler characteristic

2002-01-18

arxiv.org/abs/math/0201178v1

Mathematics

Geometric Topology

To appear in Journal of Knot Theory and its Ramifications

Scientific paper

Everyone knows that the Euler characteristic of a combinatorial manifold is
given by the alternating sum of its numbers of simplices. It is shown that
there are other linear combinations of the numbers of simplices which are
combinatorial invariants, but that all such invariants are multiples of the
Euler characteristic.

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