Definable triangulations with regularity conditions
Differential Geometry
2014-11-11 v3
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.
Keywords
Cite
@article{arxiv.0904.1308,
title = {Definable triangulations with regularity conditions},
author = {Malgorzata Czapla},
journal= {arXiv preprint arXiv:0904.1308},
year = {2014}
}
Comments
17 pages