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arXiv · 1201.1669

On the Geometry of sets satisfying the Sequence Selection Property

Satoshi Koike·Laurentiu Paunescu
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Abstract

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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Satoshi Koike, Laurentiu Paunescu. 2013-09-23. On the Geometry of sets satisfying the Sequence Selection Property. https://arxiv.org/abs/1201.1669

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