基于下极限收敛的偏序集的交连续性(英文)  

Meet Continuity of Posets via Lim-inf-convergence

作　　者：李庆国[1] 李纪波[1] 

机构地区：[1]湖南大学数学与计量经济学院,长沙湖南410082

出　　处：《数学进展》2010年第6期755-760,共6页Advances in Mathematics（China）

基　　金：supported by the National Natural Science Foundation of China(No.10771056)

摘　　要：本文首先研究了偏序集上下极限收敛和Scott拓扑之间的关系,然后根据下极限收敛给出了交连续的偏序集概念,并探讨了偏序集上交连续性,连续性和Scott拓扑之间的关系.The relation between lim-inf-convergence and the Scott topology on a poset P is exploited.The meet continuity of general posets is characterized in terms of lim-inf-convergence and it turns out that for a poset there exist close relations among meet continuity,continuity and the Scott topology.

关 键 词：下极限收敛 SCOTT拓扑 连续偏序集 交连续偏序集 

分 类 号：O153.1[理学—数学]