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拟连续domain的网式刻画 被引量:6

A characterization of quasi-continuous domains by nets
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摘要 本文在定向完备偏序集上引入网的广义S收敛的概念,并给出了拟连续domain的如下网式刻画:定向完备偏序集是拟连续的当且仅当广义S收敛关于Scott拓扑是拓扑的.该结果推广了Domain理论中关于连续domain的类似刻画. In this paper, the authors introduce a definition and give a characterization of quasi-continuous domains as f and only if the generalized S -convergence is topological wi generalized S -convergence of nets on dcpos ows:A dcpo is a quasi-continuous domain if the Scott topology.
作者 陈秋燕 寇辉
出处 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第3期433-435,共3页 Journal of Sichuan University(Natural Science Edition)
关键词 广义S收敛 拟连续 拓扑收敛 Generalized S -convergence Quasi-continuous Topological convergence
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