关于满足序列选择性质的集合的几何
On the Geometry of sets satisfying the Sequence Selection Property
摘要：
本文研究了在条件（SSP）假设下集合的基本方向性质。我们证明了几个横截性定理在奇异的情况下和（SSP）-结构保持定理。作为一个例子，我们的横截性结果被用来证明几个事实，复解析簇。（SSP）-性质最适合于理解Lipschitz范畴中的横截性。这个属性是共享的一大类集，特别是由subanalytic集或可定义集的O-最小结构。
英文摘要：
In this paper we study fundamental directional properties of sets under the assumption of condition (SSP) (introduced in a previous paper). We show several transversality theorems in the singular case and an (SSP)-structure preserving theorem. As an illustration, our transversality results are used to prove several facts concerning complex analytic varieties. The (SSP)-property is most suitable for understanding transversality in the Lipschitz category. This property is shared by a large class of sets, in particular by subanalytic sets or by definable sets in an o-minimal structure.
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