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arXiv · 0904.1308

Definable triangulations with regularity conditions

Malgorzata Czapla
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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.

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Malgorzata Czapla. 2009-05-12. Definable triangulations with regularity conditions. https://doi.org/10.2140/gt.2012.16.2067

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