Definable triangulations with regularity conditions

Details Definable triangulations with regularity conditions Definable triangulations with regularity conditions

2009-04-08

arxiv.org/abs/0904.1308v3

Mathematics

Differential Geometry

17 pages

Scientific paper

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.

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