具有正则性条件的可定义三角剖分
Definable triangulations with regularity conditions
摘要：
本文证明了在单纯复形的自然单纯分层上，每个可定义集都有一个局部Lipschitz和弱双Lipschitz的可定义三角剖分。我们还区分了一类正则性条件T，并给出了具有可定义集合的T条件的可定义三角剖分的通用构造。这类条件包括Whitney（B）条件和Verdier条件。
英文摘要：
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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