量化Domain中的反向层次收敛  

Backward-Convergence with respect to A Testing Sequence in the Quantitative Domain

作　　者：路秀华[1] 樊磊[2] 

机构地区：[1]首都师范大学数学系 [2]首都师范大学教育技术系,北京100037

出　　处：《首都师范大学学报（自然科学版）》2006年第1期4-8,共5页Journal of Capital Normal University：Natural Science Edition

基　　金：北京市教委项目资助(合同号:KM_200310028177);国家自然科学基金(批准号:60473009)

摘　　要：在LF-拟序集中引进了反向层次收敛理论.给出了反向层次收敛序列的性质和若干等价条件,得出了经典序伴随理论中一个重要性质的层次化版本.此外,还引进了紧性和全有界性等概念,它们是度量空间中相应概念在LF-伪序集中的对应形式.最后研究了可变层次结构的若干性质.This paper investigates backward-convergence theory with respect to a testing sequence. Backward-convergence with respect to a testing sequence is introduced and its properties and sufficient and necessary condition are presented. In addition, It obtains a new form of an important property in adjoint theory. The concepts of compactness and totally bounded property in LF-pseudo ordered sets are also introduced, which are correspondent to compactness and totally bounded property in metric spaces. At last, it discusses properties of variable testing sequences.

关 键 词：LF-拟序集 层次收敛 反向层次收敛 层次伴随 紧性 全有界性 变层次结构 

分 类 号：O159[理学—数学] O189[理学—基础数学]