Weakly Whitney preserving maps

被引:7
|
作者
Espinoza, Benjamin [1 ]
Matsuhashi, Eiichi [2 ]
机构
[1] Univ Pittsburgh, Dept Math, 236 Frank A Cassell Hall,150 Finoli Dr, Greensburg, PA 15601 USA
[2] Shimane Univ, Dept Math, Matsue, Shimane 6908504, Japan
关键词
Arcwise increasing map; Continuum; D-continuum; Continuum-wise injective map; Dendrite; Eulerian path; Graph-like continuum; Hereditarily irreducible map; Strictly Whitney preserving map; Strictly weakly Whitney preserving map; Superdendrite; Weakly confluent map; Weakly Whitney preserving map; Whitney map; Whitney preserving map;
D O I
10.1016/j.topol.2019.05.010
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we modify the definition of Whitney preserving map to introduce a new family of functions; weakly Whitney preserving maps, and we study the relationships of this new family with other families of functions. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码:90 / 108
页数:19
相关论文
共 50 条
  • [21] Stability preserving maps
    Djaferis, TE
    SYSTEM THEORY: MODELING, ANALYSIS, AND CONTROL, 2000, 518 : 475 - 486
  • [22] Weakly equivalence preserving functors
    Mashhad, Fatemeh Mohammadi Aghjeh
    Italian Journal of Pure and Applied Mathematics, 2016, (36): : 731 - 738
  • [23] Maps Completely Preserving Fixed Points and Maps Completely Preserving Kernel of Operators
    R. Hosseinzadeh
    I. Sharifi
    A. Taghavi
    Analysis Mathematica, 2018, 44 : 451 - 459
  • [24] MAPS COMPLETELY PRESERVING FIXED POINTS AND MAPS COMPLETELY PRESERVING KERNEL OF OPERATORS
    Hosseinzadeh, R.
    Sharifi, I.
    Taghavi, A.
    ANALYSIS MATHEMATICA, 2018, 44 (04) : 451 - 459
  • [25] Area preserving maps and volume preserving maps between a class of polyhedrons and a sphere
    Holhos, Adrian
    Rosca, Daniela
    ADVANCES IN COMPUTATIONAL MATHEMATICS, 2017, 43 (04) : 677 - 697
  • [26] Area preserving maps and volume preserving maps between a class of polyhedrons and a sphere
    Adrian Holhoş
    Daniela Roşca
    Advances in Computational Mathematics, 2017, 43 : 677 - 697
  • [27] STIEFEL-WHITNEY NUMBERS AND MAPS COBORDANT TO EMBEDDINGS
    BROWN, RLW
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 48 (01) : 245 - 250
  • [28] MONOTONE AND OPEN WHITNEY MAPS DEFINED IN 2(X)
    ILLANES, A
    TOPOLOGY AND ITS APPLICATIONS, 1993, 53 (03) : 271 - 288
  • [29] On non-metric continua that support Whitney maps
    Smith, Michel
    Stone, Jennifer
    TOPOLOGY AND ITS APPLICATIONS, 2014, 170 : 63 - 85
  • [30] McShane-Whitney extensions for fuzzy Lipschitz maps
    Jimenez-Fernandez, E.
    Rodriguez-Lopez, J.
    Sanchez-Perez, E. A.
    FUZZY SETS AND SYSTEMS, 2021, 406 : 66 - 81