Definable triangulations with regularity conditions
arXiv:0904.1308 · doi:10.2140/gt.2012.16.2067
Abstract
In this paper we prove that every definable set has a definable triangulation which is locally Lipschitz and weakly bi-Lipschitz on the natural simplicial stratification of the simplicial complex. We also distinguish a class T of regularity conditions and give a universal construction of a definable triangulation with a T condition of a definable set. This class includes the Whitney (B) condition and the Verdier condition.
17 pages