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.
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页数：9
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