Multi-K-bi-Lipschitz equivalence in dimension two

被引：0
|
作者：
Birbrair, Lev [1 ]
Mendes, Rodrigo [2 ,3 ]
机构：
[1] Univ Fed Ceara UFC, Dept Matemat, Campus Pici Bloco 914, BR-60455760 Fortaleza, CE, Brazil
[2] Univ Integracao Int Lusofonia Afro Brasileira UNIL, Inst Ciencias Exatas & Nat, Campus Palmares, BR-62785000 Acarape, CE, Brazil
[3] Ben Gurion Univ Negev, Dept Math, POB 653, IL-84105 Beer Sheva, Israel
来源：
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES | 2024年 / 18卷 / 02期
关键词：
Width; Lipschitz Geometry; Contact equivalence; Singularity; Semialgebraic sets;
D O I：
10.1007/s40863-024-00404-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study Multi-K-equivalence of multi-germs of functions on the plane, definable in a polynomially bounded o-minimal structure. As in Birbrair et al. (Annali SNS Pisa 17:81-92, 2017. https://doi.org/10.2422/2036-2145.201503_014), we partition the germ of the plane at origin into zones of arcs in such a way that it produces a non-Archimedean space (set of orders and width functions) compatible with a given multi-germ, encoding its asymptotic behaviour. Such a partition is called Multi-pizza. We show the existence, uniqueness and complete invariance of multi-pizzas with respect to the Multi-K-bi-Lipschitz equivalence.
引用
收藏
页码：1165 / 1177
页数：13
相关论文
共 50 条
  • [41] The Research of Multi-label k-Nearest Neighbor Based on Descending Dimension
    Gao, Song
    Yang, Xiaodan
    Zhou, Lihua
    Yao, Shaowen
    2018 IEEE/ACIS 16TH INTERNATIONAL CONFERENCE ON SOFTWARE ENGINEERING RESEARCH, MANAGEMENT AND APPLICATION (SERA), 2018, : 129 - 135
  • [42] Optimization of two dimensions of a multi-aisle AS/RS with fixed third dimension
    Kouloughli, Sihem
    Sari, Zaki
    Sari, Tewfik
    PROCEEDINGS OF INTERNATIONAL CONFERENCE ON INDUSTRIAL ENGINEERING AND SYSTEMS MANAGEMENT (IESM'2011): INNOVATIVE APPROACHES AND TECHNOLOGIES FOR NETWORKED MANUFACTURING ENTERPRISES MANAGEMENT, 2011, : 248 - 258
  • [43] A K0-avoiding dimension group with an order-unit of index two
    Wehrung, Friedrich
    JOURNAL OF ALGEBRA, 2006, 301 (02) : 728 - 747
  • [44] On the construction of k-regular maps to Grassmannians via algebras of socle dimension two
    Jelisiejew, Joachim
    Keneshlou, Hanieh
    ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2024, 25 (03) : 1763 - 1798
  • [45] ALGEBRAIC MULTI-GRID METHOD IN TWO-DIMENSION ELECTRICALLY LARGE PROBLEMS
    Xu Yuan Fang Dagang (Millimeter Wave Technique Laboratory
    JournalofElectronics(China), 2000, (01) : 77 - 83
  • [46] The design and fabrication of two-dimension multi-electrodes array chip and system
    Chen, JM
    Huang, JG
    Lin, CW
    PROCEEDINGS OF THE 26TH ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY, VOLS 1-7, 2004, 26 : 2426 - 2429
  • [47] A multi-country prosperity index by two-dimension singular spectrum analysis
    Zhang Jiawei
    Xie Haibin
    Wang Shouyang
    PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE (ICCS), 2011, 4 : 1681 - 1690
  • [48] Design of Two-Dimension DMA controller In Media Multi-Processor SoC
    Chen, Keming
    Qi, Lingling
    Yu, Haibin
    2008 INTERNATIONAL SYMPOSIUM ON INTELLIGENT INFORMATION TECHNOLOGY APPLICATION, VOL II, PROCEEDINGS, 2008, : 708 - +
  • [49] Bi-dimension decomposed hidden Markov models for multi-person activity recognition附视频
    Weidong ZHANG Feng CHEN Wenli XU Department of Automation Tsinghua University Beijing China
    Journal of Zhejiang University(Science A:An International Applied Physics & Engineering Journal), 2009, (06) : 810 - 819
  • [50] The bi-criteria seeding algorithms for two variants of k-means problem
    Li, Min
    JOURNAL OF COMBINATORIAL OPTIMIZATION, 2022, 44 (03) : 1693 - 1704
12345