Z-完备偏序集上诱导的拓扑  

Induced Z-Scott topology on Z-complete posets

作　　者：邱怡[1] 饶三平[1] 

机构地区：[1]南昌工程学院理学院,江西南昌330099

出　　处：《南昌大学学报（理科版）》2015年第1期18-20,共3页Journal of Nanchang University(Natural Science)

基　　金：国家自然科学基金资助项目(11071061);江西省教育厅科技科技资助项目(GJJ14754)

摘　　要：在Z-完备偏序集中引入诱导拓扑概念,找到了诱导拓扑的一个基,并给出了它一个相应的等价刻画;同时证明了诱导拓扑映射是可以复合并且是严格单调的。The definition of induced Z-Scott topology was introduced and a basis of induced topology was found based on Z-complete posets.Some equivalent characterizations of induced Z-Scott topology were ob-tained as well.It discussed the properties of induced Z-Scott topology and proved that the induced topology mapping could be composed to yield the strict monotonicity.

关 键 词：连续偏序集 开集 诱导的拓扑 

分 类 号：O153.1[理学—数学] O189.1[理学—基础数学]