Abstract
We prove that every definable in an o-minimal structure set has a definable triangulation which is locally Lipschitz and weakly bi-Lipschitz on the natural simplicial stratification of a simplicial complex. We also distinguish a class of regularity conditions and give a universal construction of a definable triangulation with a condition of a definable set. This class includes the Whitney (B) and the Verdier conditions.
Citation
Małgorzata Czapla. "Definable triangulations with regularity conditions." Geom. Topol. 16 (4) 2067 - 2095, 2012. https://doi.org/10.2140/gt.2012.16.2067
Information