Coincidence Properties for Maps from the Torus to the Klein Bottle

被引：0
|
作者：
Daciberg L.GONCALVES
Michael R.KELLY
机构：
[1] Departamento de Matemática IME,USP
[2] Department of Mathematics Loyola University
来源：
ChineseAnnalsofMathematics | 2008年 / 04期
关键词：
Coincidence point; Nielsen number; Wecken property;
D O I：
暂无
中图分类号：
O189 [拓扑（形势几何学）];
学科分类号：
070104 ;
摘要：
The authors study the coincidence theory for pairs of maps from the Torus to the Klein bottle.Reidemeister classes and the Nielsen number are computed,and it is shown that any given pair of maps satisfies the Wecken property.The 1-parameter Wecken property is studied and a partial negative answer is derived.That is for all pairs of coincidence free maps a countable family of pairs of maps in the homotopy class is constructed such that no two members may be joined by a coincidence free homotopy.
引用
收藏
页码：425 / 440
页数：16
相关论文
共 50 条
  • [1] Coincidence properties for maps from the torus to the Klein bottle
    Goncalves, Daciberg L.
    Kelly, Michael R.
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2008, 29 (04) : 425 - 440
  • [2] Coincidence Properties for Maps from the Torus to the Klein Bottle
    Daciberg L. Gonçalves
    Michael R. Kelly
    Chinese Annals of Mathematics, Series B, 2008, 29 : 425 - 440
  • [3] Doubly Semiequivelar Maps on Torus and Klein Bottle
    Tiwari, Anand K.
    Tripathi, Amit
    Singh, Yogendra
    Gupta, Punam
    JOURNAL OF MATHEMATICS, 2020, 2020
  • [4] Semi-equivelar maps on the torus and the Klein bottle are Archimedean
    Datta, Basudeb
    Maity, Dipendu
    DISCRETE MATHEMATICS, 2018, 341 (12) : 3296 - 3309
  • [5] THE BORSUK-ULAM PROPERTY FOR HOMOTOPY CLASSES OF MAPS FROM THE TORUS TO THE KLEIN BOTTLE
    Goncalves, Daciberg Lima
    Guaschi, John
    Laass, Vinicius Casteluber
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2020, 56 (02) : 529 - 558
  • [6] SEMI-EQUIVELAR MAPS ON THE TORUS AND THE KLEIN BOTTLE WITH FEW VERTICES
    Tiwari, Anand Kumar
    Upadhyay, Ashish Kumar
    MATHEMATICA SLOVACA, 2017, 67 (02) : 519 - 532
  • [7] 2-semi equivelar maps on the torus and the Klein bottle with few vertices
    Tiwari, Anand Kumar
    Singh, Yogendra
    Tripathi, Amit
    COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 2024,
  • [8] Enumeration of r-regular maps on the torus. Part I: Rooted maps on the torus, the projective plane and the Klein bottle. Sensed maps on the torus
    Krasko, Evgeniy
    Omelchenko, Alexander
    DISCRETE MATHEMATICS, 2019, 342 (02) : 584 - 599
  • [9] THE BORSUK-ULAM PROPERTY FOR HOMOTOPY CLASSES OF MAPS FROM THE TORUS TO THE KLEIN BOTTLE PART 2
    Goncalves, Daciberg Lima
    Guaschi, John
    Laass, Vinicius Casteluber
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2022, 60 (02) : 491 - 516
  • [10] SINGULAR MAPS ON THE KLEIN BOTTLE
    Li Zhaoxiang Liu YanpeiDept.of Math.
    Applied Mathematics:A Journal of Chinese Universities, 2002, (03) : 365 - 370
12345