L-Fuzzy拓扑空间中的δTi-分离性
δTi-separation in L-Fuzzy topological space
刘生云 1王小霞 1王玉焕1
作者信息
- 1. 延安大学 数学与计算机科学学院,陕西 延安 716000
- 折叠
摘要
利用δ-开集和δ-远域等概念,对L-Fuzzy拓扑空间中的分离性进行了进一步的推广,定义了δTi-分离性(i=-1,0,1,2,3,4),研究了δTi-分离性的一些等价刻画,证明了δTi-分离性的诸如L-好的推广、遗传性、可乘性、同胚不变性、LFδ-拓扑性质等一系列好的性质,并证明了弱诱导的L-Fuzzy拓扑空间的δTi-分离性与其底空间的δTi-分离性之间的关系.研究结果丰富和发展了分离性理论.
Abstract
The separability in L-Fuzzy topological space is further generalized by using the concepts of δ-open sets and δ-far-field.δTi-separability(i=-1,0,1,2,3,4)is defined and some equivalent characterizations of δTi-separability are studied,In addition,a series of good properties of δTi-separability,such as L-good generalization,heritability,multiplicability,homeomorphism invariance,LFδ-topological properties are proved,and proved the relationship between the δTi-separability of weakly induced L-Fuzzy topological spaces and the δTi-separability of their base spaces.The research results enrich and develop the theory of separability.
关键词
δ-开集/δ-远域/δTi-分离性Key words
δ-open set/δ-far field/δTi-separability引用本文复制引用
基金项目
国家自然科学地区基金项目(12261090)
陕西省自然科学基础研究计划项目(2018JM1042)
延安大学研究生教育创新计划项目(YCX2024048)
出版年
2024
NETL
NSTL
万方数据