On sequence-covering near-compact images of metric spaces

被引：1
|
作者：
Ling, Xuewei [1 ]
Lin, Shou [2 ]
机构：
[1] Nanjing Normal Univ, Inst Math, Nanjing 210046, Jiangsu, Peoples R China
[2] Ningde Normal Univ, Inst Math, Ningde 352100, Fujian, Peoples R China
来源：
TOPOLOGY AND ITS APPLICATIONS | 2021年 / 301卷
关键词：
Near-compact mappings; Boundary-compact mappings; Sequentially open points; Sequence-covering mappings; Point-star networks; cs-covers; MAPPINGS;
D O I：
10.1016/j.topol.2020.107528
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we define near-compact mappings and characterize the sequence-covering, near-compact images of metric spaces. The following main result is obtained. The following are equivalent for a space X: (1) X is a 1-sequence-covering near-compact image of a metric space. (2) X is a sequence-covering near-compact image of a metric space. (3) X has a sequence of cs-covers which is a point-finite point-star network at NS(X). (4) X has a sequence of sn-covers which is a point-finite point-star network at NS(X). (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页数：9
相关论文
共 50 条
  • [21] Covering compact metric spaces greedily
    J. H. Rolfes
    F. Vallentin
    [J]. Acta Mathematica Hungarica, 2018, 155 : 130 - 140
  • [22] Covering compact metric spaces greedily
    Rolfes, J. H.
    Vallentin, F.
    [J]. ACTA MATHEMATICA HUNGARICA, 2018, 155 (01) : 130 - 140
  • [23] Remarks on sequence-covering maps
    Luong Quoc Tuyen
    [J]. COMMENTATIONES MATHEMATICAE UNIVERSITATIS CAROLINAE, 2012, 53 (04): : 645 - 650
  • [24] CLOSED MAPPINGS, BOUNDARY-COMPACT MAPPINGS AND SEQUENCE-COVERING MAPPINGS
    Lin, Shou
    Cai, Zhangyong
    [J]. HOUSTON JOURNAL OF MATHEMATICS, 2016, 42 (03): : 1059 - 1078
  • [25] A note on sequence-covering mappings
    Shou Lin
    [J]. Acta Mathematica Hungarica, 2005, 107 : 187 - 191
  • [26] A note on sequence-covering mappings
    Lin, S
    [J]. ACTA MATHEMATICA HUNGARICA, 2005, 107 (03) : 187 - 191
  • [27] ON PSEUDO-SEQUENCE-COVERING pi IMAGES OF LOCALLY SEPARABLE METRIC SPACES
    Xia, Shengxiang
    [J]. MATEMATICKI VESNIK, 2007, 59 (1-2): : 57 - 64
  • [28] On sequence-covering K-mappings
    Li, JJ
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (03): : 397 - 403
  • [29] ON SEQUENCE-COVERING msss-MAPS
    Li, Zhaowen
    Li, Qingguo
    Zhou, Xiangnan
    [J]. MATEMATICKI VESNIK, 2007, 59 (1-2): : 15 - 21
  • [30] On I-Covering Images of Metric Spaces
    Zhou, Xiangeng
    Lin, Shou
    [J]. FILOMAT, 2022, 36 (18) : 6621 - 6629
12345