Elementary moves on triangulations

Details Elementary moves on triangulations Elementary moves on triangulations

2005-06-28

arxiv.org/abs/math/0506564v2

Mathematics

Metric Geometry

10 pages; some corrections, extended proofs of Lemma 4 and Corollary 3

Scientific paper

It is proved that a triangulation of a polyhedron can always be transformed
into any other triangulation of the polyhedron by using only elementary moves.
One consequence is that an additive function (valuation) defined only on
simplices may always be extended to an additive function on all polyhedra.

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