摘要
引入Z-连通偏序集的基的概念,给出其一些等价刻划,讨论了Z-连通连续偏序集的权与相应Z-连通Scott拓扑空间的权之间的关系,并且进一步讨论其与相应的Z-连通Lawson拓扑空间的权之间的关系。最后给出了在Z-连通连续偏序集中w(Λ(P))=w(P)=w(Σ(P))。
The concept of basis on the Z-connected continuous posets was defined. The equivalent characterizations of the basis were obtained. The relationship between the weight on Z-connected continuous posets and on the relative Z-connected Scott or Lawson topological spaces were discussed. Finally, a perfect equality w（A（P））=w（P）=w（Z（P）） on the Z-connected continous posets was derived.
出处
《南昌大学学报（理科版）》
CAS
北大核心
2011年第4期314-317,共4页
Journal of Nanchang University(Natural Science)
基金
国家自然科学基金资助项目(10331010
1086100
61175127)
江西省自然科学基金资助项目(O411025
2010GQS0139
2010GZS0151)
江西省教育厅青年科学基金资助项目(GJJ10086)
