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Scott连续映射的分析式与层次式刻划及应用
引用本文:张德学.Scott连续映射的分析式与层次式刻划及应用[J].四川大学学报(自然科学版),1994(2).
作者姓名:张德学
基金项目:国家自然科学基金及国家教委博士点基金
摘    要:首先建立了拓扑空间到连续格的Scott连续映射的分析式与层次式刻划;其次利用这些刻划得到了连续格的分析式与层次式刻划,改进了有关作者的完全分配格的分析式刻划.

关 键 词:连续格,Seott连续映射

ANALYTICAL AND LEVEL-STRUCTURAL CHARACTERIZATIONS OF SCOTT CONTINUOUS MAPPINGS AND APPLICATION
Zhang Dexue.ANALYTICAL AND LEVEL-STRUCTURAL CHARACTERIZATIONS OF SCOTT CONTINUOUS MAPPINGS AND APPLICATION[J].Journal of Sichuan University (Natural Science Edition),1994(2).
Authors:Zhang Dexue
Affiliation:Department of Mathematics
Abstract:In this paper,the analytic and level-structural characterizations of Scott continuousmappinss to a continuoas lattices are estublished at firet;then as applications,the analytic and level-structural characterizatioas of continuous lattiees are obtained; particularly the analyticcharacterization of completely distributive lattice in 3] is improved.
Keywords:continuous lattices  Scott continuous mapping  
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