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《Journal of Nanjing Institute of Meteorology》 2004-01
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A Characterization of Continuous Domains

ZHOU Li-tao (Department of Mathematics,NIM,Nanjing210044,China)  
The weak approximating elements of complete lattices have a few significant properties,and play an important role in the characterizations of continuous lattices and completely distributive lattices.In this paper,the concept of weak approximating elements is introduced and an important property of weak approximating elements is studied,then a sufficient condition of continuous domain is obtained.At last,a characterization of continuous domains is given by means of the Scott open filters.
【Fund】: 江苏省教育厅自然科学研究指导性计划项目(01KJD110002)
【CateGory Index】: O189
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