相对几乎SR紧性及其与其他相对紧性的关系  

The Relative Near SR-compactness and the Relations to Other Relative Compactness

作　　者：李尧龙[1] 张郭军[2] 张福玲[2] 

机构地区：[1]陕西师范大学数学与信息科学学院,陕西西安710062 [2]渭南师范学院计算机科学系,陕西渭南714000

出　　处：《西南民族大学学报（自然科学版）》2008年第3期405-409,共5页Journal of Southwest Minzu University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10271069);渭南师范学院专项科研基金资助项目(08YKZ053;07YKZ068)

摘　　要：定义了L-余拓扑空间的相对几乎SR紧性,讨论了相对几乎SR紧性与几乎SR紧性之间的关系,用网和覆盖等工具对相对几乎SR紧性进行了刻划,并系统地研究了相对几乎SR紧性的性质.最后,研究了相对几乎SR紧性与相对良紧性、相对SR紧性、相对强F紧性之间的关系.The Concept of Relative near SR compactness is introduced in L-topological spaces, for L a complete DeMorgan algebra, Relations between relative near SR compactness and near SR compactness and investigated. Some characteristic theorems of relative near SR compactness are give in term of nets and covers. Finally, the connections between relative near SR compactness and other relative compactness are studied.

关 键 词：L-拓扑空间 相对良紧性 相对几乎SR紧性 分子 远域 

分 类 号：O189.1[理学—数学]