梁基华
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- 姓名:梁基华
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学术头衔:
博士生导师
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学科领域:
数理逻辑与数学基础
- 研究兴趣:
梁基华教授,女,生于1953年四川纳溪。现为四川大学数学学院教授,博士生导师,四川省学术与技术带头人。曾获得1989,1997,2003年度四川省科技进步奖,92年霍英东青年教师奖,2002,2004年度四川省优秀教学成果奖。现已在国际国内重要学术刊物:Top.and Appl., Computer and Math. with Appl., J.Math.Anal. Appl.,科学通报,数学年刊,数学学报等上发表论文30多篇,在格上拓朴和Domain理论两个前沿领域作出了有影响的工作。1997被邀请在我国召开的国际拓朴学会议上做1小时大会报告,1999年被邀请在中国第一届Domain理论国际研讨会上做大会两小时报告,为促进我国学者在这一领域的研究起到了一定的作用。
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成果数
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【期刊论文】Lower Separation and Domain Environments
梁基华, Jihua Liang, Xiaoyong Xi*
,-0001,():
-1年11月30日
In order to describe those spaces with a domain environment, some new lower axioms of separation are introduced and studied from the both of topology and domain theory respectively in the paper.
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【期刊论文】Convex Power Domain and Vietoris Space
梁基华, Jihua Liang and Hui Kou
Computers and Mathematics with Applications 0(2004)1-0,-0001,():
-1年11月30日
In this paper, the maximal point spaces (MP-space in short) of convex power domains are investigated. Some characterizations of the maximal points of convex power domains are obtained. It is proved that for a continuous domain D, convex power domain C(D) is a domain hull of its maximal points Max(C(D)) if and only if each element of Max(C(D)) is generated by a compact subset of Max(D). In this case, the space Max(C(D)) can be identi-ed with the compact subsets Com(Max(D)) of Max(D) and the Vietoris topology on Com(Max(D)) is the topology inherited from the convex power domain. Finally, an example is given to show that even for a weakly compact continuous domain, its convex power domain need not be a domain hull of the maximal points.
Continuous domain,, Convex power domain,, MP-space,, Vietoris space.,
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【期刊论文】Order Environments of Topological Spaces
梁基华, J. H. LIANG, K. KEIMEL
,-0001,():
-1年11月30日
In this paper it is proved that a space may be realized as the set of the maximal elements in a continuous poset if and only if it is Tychonoff.
Domain environment,, Weakly complete,, Tychonoff space
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