Covering maps of spaces of compact subsets

被引：0
|
作者：
Gel'man, B. D. [1 ]
Zhukovskii, S. E. [2 ]
机构：
[1] Voronezh State Univ, Voronezh, Russia
[2] Patrice Lumumba Peoples Friendship Univ, Moscow 117302, Russia
来源：
MATHEMATICAL NOTES | 2013年 / 93卷 / 3-4期
基金：
俄罗斯基础研究基金会;
关键词：
metric space; covering map; Lipschitz mapping; coincidence set of maps; Lipschitz condition; METRIC-SPACES; MAPPINGS;
D O I：
10.1134/S0001434613030218
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Mappings generated by covering maps of metric spaces are considered in the spaces of compact subsets of metric spaces. Sufficient conditions for the covering property of maps of spaces of compact sets and sufficient conditions for the existence of coincidence sets of maps of metric spaces are obtained.
引用
收藏
页码：539 / 544
页数：6
相关论文
共 50 条
  • [41] Locally covering maps in metric spaces and coincidence points
    Aram Arutyunov
    Evgeniy Avakov
    Boris Gel’man
    Andrei Dmitruk
    Valeri Obukhovskii
    Journal of Fixed Point Theory and Applications, 2009, 5 : 105 - 127
  • [42] Locally covering maps in metric spaces and coincidence points
    Arutyunov, Aram
    Avakov, Evgeniy
    Gel'man, Boris
    Dmitruk, Andrei
    Obukhovskii, Valeri
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2009, 5 (01) : 105 - 127
  • [43] SEQUENCE-COVERING MAPS ON GENERALIZED METRIC SPACES
    Lin, Fucai
    Lin, Shou
    HOUSTON JOURNAL OF MATHEMATICS, 2014, 40 (03): : 927 - 943
  • [44] Covering maps for locally path-connected spaces
    Brodskiy, N.
    Dydak, J.
    Labuz, B.
    Mitra, A.
    FUNDAMENTA MATHEMATICAE, 2012, 218 (01) : 13 - 46
  • [45] COMPACT-COVERING AND 1-SEQUENCE-COVERING IMAGES OF METRIC SPACES
    Lin, Shou
    Ge, Ying
    HOUSTON JOURNAL OF MATHEMATICS, 2019, 45 (01): : 293 - 305
  • [46] Atoms in the lattice of covering operators in compact Hausdorff spaces
    Hager, Anthony W.
    Wynne, Brian
    TOPOLOGY AND ITS APPLICATIONS, 2021, 289
  • [47] LIFTING IN COMPACT COVERING SPACES FOR FRACTIONAL SOBOLEV MAPPINGS
    Mironescu, Petru
    Van Schaftingen, Jean
    ANALYSIS & PDE, 2021, 14 (06): : 1851 - 1871
  • [48] COMPACTIFICATION OF COVERING SPACES OF COMPACT 3-MANIFOLDS
    SIMON, J
    MICHIGAN MATHEMATICAL JOURNAL, 1976, 23 (03) : 245 - 256
  • [49] COMPACT-COVERING OPEN IMAGES OF METRIC SPACES
    MICHAEL, EA
    NAGAMI, K
    NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (01): : A210 - &
  • [50] COVERING-SPACES OF FAMILIES OF COMPACT RIEMANN SURFACES
    NAPIER, T
    MATHEMATISCHE ANNALEN, 1992, 294 (03) : 523 - 549
12345