摘要
定义了L-fuzzy拓扑空间的相对SR紧性,并用网及覆盖等性质对相对SR紧性进行了刻划.讨论了相对SR紧性与SR紧性的关系和相对SR紧性的性质,证明了相对SR紧性关于闭子空间是遗传的以及在强半正则连续映射下是不变的.
The concept of relative SR compactness is introduced in L-fuzzy topological spaces. Some characteristic theorems of relative SR compactness are given in term of nets and covers. Relation ship between relative SR compactness and SR compactness is investigated. Finally, it is proved that the relative closed heredity and the weak homeomorphic invariant are all valid.
出处
《纺织高校基础科学学报》
CAS
2006年第3期193-196,共4页
Basic Sciences Journal of Textile Universities
基金
国家自然科学基金资助项目(10271069)
渭南师范学院重点科研基金资助项目(06YKF010)
关键词
L-FUZZY拓扑空间
相对SR紧性
SR紧性
分子
远域
L-fuzzy topological space
relative SR compactness
SR compactness
molecule
remote neighborhood
