Elementary moves on triangulations
Metric Geometry
2019-10-08 v2 Algebraic Topology
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.
Keywords
Cite
@article{arxiv.math/0506564,
title = {Elementary moves on triangulations},
author = {Monika Ludwig and Matthias Reitzner},
journal= {arXiv preprint arXiv:math/0506564},
year = {2019}
}
Comments
10 pages; some corrections, extended proofs of Lemma 4 and Corollary 3