V. RENUKADEVI,B. PRAKASH.Some Characterizations of Spaces with Weak Form of $cs$Networks[J].数学研究及应用,2016,36(3):369~378 
Some Characterizations of Spaces with Weak Form of $cs$Networks 
Some Characterizations of Spaces with Weak Form of $cs$Networks 
投稿时间：20150422 修订日期：20151012 
DOI：10.3770/j.issn:20952651.2016.03.013 
中文关键词: sequence covering sequentially quotient $sn$network $cs$network 
英文关键词:sequence covering sequentially quotient $sn$network $cs$network 
基金项目:Supported by the Council of Scientific & Industrial Research Fellowship in Sciences (CSIR, New Delhi) for Meritorious Students, India. 

摘要点击次数: 1665 
全文下载次数: 1370 
中文摘要: 
In this paper, we introduce the concept of statistically sequentially quotient map: A mapping $f: X \rightarrow Y$ is statistically sequentially quotient map if whenever a convergent sequence $S$ in $Y,$ there is a convergent sequence $L$ in $X$ such that $f(L)$ is statistically dense in $S$. Also, we discuss the relation between statistically sequentially quotient map and covering maps by characterizing statistically sequentially quotient map and we prove that every closed and statistically sequentially quotient image of a $g$metrizable space is $g$metrizable. Moreover, we discuss about the preservation of generalization of metric space in terms of weakbases and $sn$networks by closed and statistically sequentially quotient map. 
英文摘要: 
In this paper, we introduce the concept of statistically sequentially quotient map: A mapping $f: X \rightarrow Y$ is statistically sequentially quotient map if whenever a convergent sequence $S$ in $Y,$ there is a convergent sequence $L$ in $X$ such that $f(L)$ is statistically dense in $S$. Also, we discuss the relation between statistically sequentially quotient map and covering maps by characterizing statistically sequentially quotient map and we prove that every closed and statistically sequentially quotient image of a $g$metrizable space is $g$metrizable. Moreover, we discuss about the preservation of generalization of metric space in terms of weakbases and $sn$networks by closed and statistically sequentially quotient map. 
查看全文 查看/发表评论 下载PDF阅读器 