南昌大学学报（理科版）
南昌大學學報（理科版）
남창대학학보（이과판）
JOURNAL OF NANCHANG UNIVERSITY(NATURAL SCIENCE)
2015年
1期
18-20
,共3页
连续偏序集%开集%诱导的拓扑
連續偏序集%開集%誘導的拓撲
련속편서집%개집%유도적탁복
Z-continuous posets%Z-Scott open sets%induced Z-Scott topology
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。
在 Z－完備偏序集中引入誘導拓撲概唸，找到瞭誘導拓撲的一箇基，併給齣瞭它一箇相應的等價刻畫；同時證明瞭誘導拓撲映射是可以複閤併且是嚴格單調的。
재 Z－완비편서집중인입유도탁복개념，조도료유도탁복적일개기，병급출료타일개상응적등개각화；동시증명료유도탁복영사시가이복합병차시엄격단조적。
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.
