四川大学学报（自然科学版）2007，Vol.44Issue(4)：765-773,9.
拓扑空间的计算环境
On computational environments of topological spaces
摘要
Abstract
As has been disclosed by Martin, a large number of important topological spaces do not have any continuous domain as their computational models. So it is of interest to study new kinds of pragmatic computational environments so as to model more topological spaces. The authors focus on those bounded complete continuous posets with enough maximal points, and show that they are good choice for computational environments of those Tychonoff spaces with no directed complete model. It is proved that the maximal point spaces of a Choquet complete weak domain is also Choquet complete. And it is proved that X is a Tychonoff space iff X has a bounded complete weak domain environment. And it is also shown that Hausdorff compactifications of Tychonoff spaces can be realized via some of its computational environments.关键词
弱domain环境/Choquet完备/Tychonoff空间/Hausdorff紧化Key words
weak domain environment/Choquet complete/Tychonoff space/Hausdorff compactification分类
数理科学引用本文复制引用
黄方平,梁基华..拓扑空间的计算环境[J].四川大学学报（自然科学版）,2007,44(4):765-773,9.基金项目
重庆市教委科学技术基金(KJ061102) （KJ061102）
