Exceptional rays and bilipschitz geometry of real surface singularities

被引：1

作者：

O'Shea, Donal ^{[1
]}

Wilson, Leslie ^{[2
]}

机构：

[1] New Coll Florida, Presidents Off, 5800 Bayshore Rd, Sarasota, FL 34243 USA

[2] Univ Hawaii Manoa, Dept Math, 2565 McCarthy Mall, Honolulu, HI 96822 USA

来源：

TOPOLOGY AND ITS APPLICATIONS | 2018年 / 234卷

关键词：

Lipschitz geometry; Conic and non-conic singularities; SEMIALGEBRAIC SETS; TANGENT-SPACES; CLASSIFICATION; LIMITS;

D O I：

10.1016/j.topol.2017.11.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

It is known that ambient bilipschitz equivalence preserves tangent cones. This paper explores the behavior of the Nash cone and, in particular, exceptional rays under ambient bilipschitz equivalence for real surfaces in R-3 with isolated singularity. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：359 / 374

页数：16

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