[1]徐振国.网的S-收敛理论[J].南京师范大学学报(自然科学版),2017,40(02):12.[doi:10.3969/j.issn.1001-4616.2017.02.003]
　Xu Zhenguo.S-Convergence Theory of Nets[J].Journal of Nanjing Normal University(Natural Science Edition),2017,40(02):12.[doi:10.3969/j.issn.1001-4616.2017.02.003]
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《南京师范大学学报》（自然科学版）[ISSN:1001-4616/CN:32-1239/N]

卷:
第40卷
期数:
2017年02期
页码:
12
栏目:
·数学·
出版日期:
2017-06-29

文章信息/Info

Title:
S-Convergence Theory of Nets
文章编号:
1001-4616(2017)02-0012-04
作者:
徐振国
国家科技基础条件平台中心,北京 100862
Author(s):
Xu Zhenguo
National Science and Technology Infrastructure Center,Beijing 100862,China
关键词:
L-拓扑空间; 半闭远域集; S-附着点; S-极限点; S-聚点; S-收敛
Keywords:
L-topological space; semiclosed remote set; S-adherence point; S-limit point; S-cluster point; S-convergence
分类号:
O189.2
DOI:
10.3969/j.issn.1001-4616.2017.02.003
文献标志码:
A
摘要:
借助半闭L-集引入半闭远域、S-附着点、S-极限点、S-聚点的概念. 证明了网N的所有S-极限点的并limsN和所有S-聚点的并adsN均是半闭L-集,网N的S-极限点一定是它子网T的S-极限点,网N的S-极限点和S-聚点在不定映射之下是保持的.
Abstract:
In this paper,semiclosed remote set,S-adherence point,S-limit point,S-cluster point are built by means of the concept of semiclosed L-sets. We proved that unions of all S-limit points of net N and unions of all S-cluster points of net N are semiclosed L-set,respectively; S-limit point of net N is S-limit points of it subnet T; under irresolute mapping S-limit point and S-cluster point of net N are hold.

参考文献/References:

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相似文献/References:

[1]潘 伟,徐振国.L-拓扑空间中S*-连通性[J].南京师范大学学报(自然科学版),2018,41(02):8.[doi:10.3969/j.issn.1001-4616.2018.02.002]
　Pan Wei,Xu Zhenguo.S*-Connectedness L-Topological Spaces[J].Journal of Nanjing Normal University(Natural Science Edition),2018,41(02):8.[doi:10.3969/j.issn.1001-4616.2018.02.002]

备注/Memo

备注/Memo:
收稿日期:2017-02-16.
基金项目:国家自然科学基金(M1551001).
通讯联系人:徐振国,博士,副研究员,研究方向:模糊数学. E-mail:zhenguoxu@126.com
更新日期/Last Update: 2017-06-30