WEAK-OPEN IMAGES OF LOCALLY SEPARABLE METRIC SPACES

被引：1

作者：

Li, Zhaowen ^{[1
]}

Ge, Xun ^{[2
]}

Li, Qingguo ^{[3
]}

机构：

[1] Guangxi Univ Nationalities, Coll Math & Comp Sci, Nanning 530006, Guangxi, Peoples R China

[2] Jiangsu Univ Sci & Technol, Coll Zhangjiagang, Zhangjiagang 215600, Jiangsu, Peoples R China

[3] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2011年 / 48卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Weak-open mappings; uniform covers; point countable covers; compact mappings; s-mappings; cosmic-weak-base; cosmic-cs-network; locally cosmic spaces; weak-developments;

D O I：

10.1556/SScMath.48.2011.2.1163

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove that a space X is a weak-open compact image of a locally separable metric space if and only if X has a uniform cosmic-weak-base if and only if X is a weak-open compact image of a metric space and a locally cosmic space, and give some internal characterizations of weak-open s-images of locally separable metric spaces.

引用

页码：145 / 159

页数：15

共 8 条

[1] On the weak-open images of metric spaces
Li, ZW
Lin, S
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2004, 54 (02) : 393 - 400
[2] On weak-open π-images of metric spaces
Li, Zhaowen
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2006, 56 (03) : 1011 - 1018
[3] On the Weak-Open Images of Metric Spaces
Zhaowen Li
Shou Lin
Czechoslovak Mathematical Journal, 2004, 54 : 393 - 400
[4] On weak-open π-images of metric spaces
Zhaowen Li
Czechoslovak Mathematical Journal, 2006, 56 : 1011 - 1018
[5] COMPACT IMAGES OF SPACES WITH A WEAKER METRIC TOPOLOGY
Yan, Peng-fei
Lue, Cheng
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2008, 58 (04) : 921 - 926
[6] Compact images of spaces with a weaker metric topology
Peng-fei Yan
Cheng Lü
Czechoslovak Mathematical Journal, 2008, 58 : 921 - 926
[7] g-metrizable spaces and the images of semi-metric spaces
Ge, Ying
Lin, Shou
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2007, 57 (04) : 1141 - 1149
[8] g-metrizable spaces and the images of semi-metric spaces
Ying Ge
Shou Lin
Czechoslovak Mathematical Journal, 2007, 57 : 1141 - 1149

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