Elementary moves on triangulations
度量几何
2019-10-08 v2 代数拓扑
摘要
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.
关键词
引用
@article{arxiv.math/0506564,
title = {Elementary moves on triangulations},
author = {Monika Ludwig and Matthias Reitzner},
journal= {arXiv preprint arXiv:math/0506564},
year = {2019}
}
备注
10 pages; some corrections, extended proofs of Lemma 4 and Corollary 3