1) quasiminimal sets
拟定向极小集
1.
This paper defines quasiminimal sets,the equivalent characterization of the quasiminimal sets is introduced,and the mapping preserving quasiminimal sets is given,so the two corresponding extention theorems are made.
定义了拟定向极小集,并证明了拟连续Dom ain的每个元都有拟定向极小集,在拟连续Dom ain中,给出了保拟定向极小集映射的几个等价刻画,并且在此基础上得到了拟连续Dom ain上的两个相应扩张定理。
2) directed minimal set
定向极小集
1.
In this paper,we have made further discussions on directed minimal sets,and gotten some new properties of directed minimal sets.
对定向极小集作了进一步的研究,得到了一系列重要性质,文章最后给出连续格为完全分配格的一个充分条件。
2.
In this paper,several characters of the directed minimal sets,the equivalent characterizations of the directed minimal sets and the bases for domains are given.
对定向极小集进行了进一步的研究,给出了Domain中保定向极小集映射与保定向并和《映射之间的等价刻 画及其有关的性质,在此基础上得到了关于保定向极小集映射的两个相应的扩张定理。
3.
In this paper, we have made further discussions on directed minimal sets, and gotten some new properties of directed minimal sets.
本文对定向极小集作了进一步的研究，得到一系列重要性质，文章最后给出连续格为完全分配格的一个充分条件。
3) pseudodirected minimal set
准定向极小集
4) quasi-minimal set
拟极小集
5) Quasi Z-minimal Sets
拟Z-极小集
1.
In this paper, We define Quas Z-minimal Sets, the equivalent characterization of the Quasi Z-minimal Sets is introduced, and the mapping preserving Quasi Z-minimal Sets is given, so the two corresponding extention theorems are made by Rudin lemma.
定义了拟Z-极小集,并证明了拟Z-连续Domain的每个元都有拟Z-极小集,在拟Z-连续Domain中,给出了保拟Z-极小集映射的几个等价刻画,并且在此基础上,运用Rudin性质,得到了拟Z-连续Domain上的两个相应扩张定理。
6) directed minimal maps
定向极小映射
1.
By the theory of completely distributive lattices,directed minimal subsets in complete lattices and directed minimal maps in continuous lattices are defined.
仿照完全分配格中的做法,定义了完备格上的定向极小集和连续格上的定向极小映射,从而得到了连续格的定向极小集刻画,并研究了它们的一些性质。
补充资料：极小集
极小集
minimal set
极小集【而顽加目set;MH皿“M~oeM肋撰c卿1 l)R~nn空间中的极小集是极小曲面(而月面目51止自仗)的推广极小集是Rier姐nn空间M”中的灭维闭子集X。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条