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

页码：1165 / 1177

页数：13

共 50 条

[31] Mellin transform of log-Lipschitz functions and equivalence of K-functionals and modulus of smoothness generated by the Mellin Steklov operator
Bouhlal, A.
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2023, 72 (02) : 1239 - 1249
[32] Mellin transform of log-Lipschitz functions and equivalence of K-functionals and modulus of smoothness generated by the Mellin Steklov operator
A. Bouhlal
Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 1239 - 1249
[33] Banach空间中实函数芽的K-bi-Lipschitz等价的判定
许静波
王蕾
陈亮
孙伟志
东北师大学报(自然科学版), 2011, 43 (02) : 28 - 32
[34] Bi-directional Multi Dimension CAP Transmission for Smart Grid Communication Services
Zhang, Xu
Othman, Maisara B.
Pan, Xiaodan
Jensen, Jesper B.
Monroy, Idelfonso T.
2012 ASIA COMMUNICATIONS AND PHOTONICS CONFERENCE (ACP), 2012,
[35] On the Dimension of the Set of Two-View Multi-Homography Matrices
Chojnacki, Wojciech
van den Hengel, Anton
COMPLEX ANALYSIS AND OPERATOR THEORY, 2013, 7 (02) : 465 - 484
[36] On the Dimension of the Set of Two-View Multi-Homography Matrices
Wojciech Chojnacki
Anton van den Hengel
Complex Analysis and Operator Theory, 2013, 7 : 465 - 484
[37] Bi-Lipschitz G-triviality and Newton polyhedra, G = R, C, K, RV, CV, KV
Costa, J. C. F.
Saia, M. J.
Soares Junior, C. H.
REAL AND COMPLEX SINGULARITIES, 2012, 569 : 29 - +
[38] Bi-dimension decomposed hidden Markov models for multi-person activity recognition
Zhang, Wei-dong
Chen, Feng
Xu, Wen-li
JOURNAL OF ZHEJIANG UNIVERSITY-SCIENCE A, 2009, 10 (06): : 810 - 819
[39] Bi-dimension decomposed hidden Markov models for multi-person activity recognition
Wei-dong Zhang
Feng Chen
Wen-li Xu
Journal of Zhejiang University-SCIENCE A, 2009, 10 : 810 - 819
[40] RESEARCH ON THE K-DIMENSION OF THE SUM OF TWO CONTINUOUS FUNCTIONS AND ITS APPLICATION
Cao, Y. X.
Liu, N.
Liang, Y. S.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2024, 32 (01)

← 1 2 3 4 5 →