Some Characterizations of Spaces with Weak Form of cs-Networks  

作　　者：V.RENUKADEVI B.PRAKASH 

机构地区：[1]Department of Mathematics, ANJA College (Autonomous)

出　　处：《Journal of Mathematical Research with Applications》2016年第3期369-378,共10页数学研究及应用（英文版）

基　　金：Supported by the Council of Scientific & Industrial Research Fellowship in Sciences(CSIR,New Delhi)for Meritorious Students,India

摘　　要：In this paper, we introduce the concept of statistically sequentially quotient map：A mapping f ： X → 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.In this paper, we introduce the concept of statistically sequentially quotient map：A mapping f ： X → 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.

关 键 词：sequentially convergent whenever statistically neighborhood quotient generalization characterizing eventually intersection 

分 类 号：O189.11[理学—数学]