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广义Z-连续偏序集的几个拓扑注记
引用本文:李伯权.广义Z-连续偏序集的几个拓扑注记[J].安徽师范大学学报(自然科学版),2005,28(4):395-397,417.
作者姓名:李伯权
作者单位:安徽师范大学,数学计算机科学学院,安徽,芜湖,241000
摘    要:给出了Z-连续偏序集和广义Z-连续偏序集的一些拓扑性质.文章主要证明了若P是一个强的Z-交连续的广义Z-连续偏序集,则它的Lawson拓扑λZ(P)是一个T3拓扑.

关 键 词:Z-Lawson拓扑  广义Z-连续偏序集
文章编号:1001-2443(2005)04-0395-03
收稿时间:2004-11-24
修稿时间:2004-11-24

SOME NOTES ON TOPOLOGY OF GENERALIZED Z-CONTINUOUS POSETS
LI Bo-quan.SOME NOTES ON TOPOLOGY OF GENERALIZED Z-CONTINUOUS POSETS[J].Journal of Anhui Normal University(Natural Science Edition),2005,28(4):395-397,417.
Authors:LI Bo-quan
Institution:College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China
Abstract:In this paper, the author finds some topological properties of Z-continuous posets and generalized Z-continuous posets. The author mainly proves that if P is a Z-meet continuous and strong Generalized Z-continuous Poset, then its Lawson topology λZ(P) is a T3-topology.
Keywords:Z-lawson topology  generalized Z-continuous poser
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