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.
出处
《数学进展》
CSCD
北大核心
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)
