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拟连续domain的网式刻画
A characterization of quasi-continuous domains by nets
【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.
【Abstract】 In this paper,the authors introduce a definition of generalizedS-convergence of nets on dcpos and give a characterization of quasi-continuous domains as follows:A dcpo is a quasi-continuous domain if and only if the generalized S-convergence is topological with the Scott topology.
【关键词】 广义S收敛;
拟连续;
拓扑收敛;
【Key words】 Generalized S-convergence; Quasi-continuous; Topological convergence;
【Key words】 Generalized S-convergence; Quasi-continuous; Topological convergence;
- 【文献出处】 四川大学学报(自然科学版) ,Journal of Sichuan University(Natural Science Edition) , 编辑部邮箱 ,2014年03期
- 【分类号】O153.1
- 【被引频次】7
- 【下载频次】59