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Elementary moves on triangulations

Monika Ludwig, Matthias Reitzner

math.MGarXiv:math/0506564

Abstract

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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