连续偏序集的下收敛结构

The Structures of Lower Convergence over Continuous Posets

通过引入下收敛与下平收敛的概念，揭示了连续偏序集在Ｓｃｏｔｔ拓扑与Ｌａｗｓｏｎ拓扑下的收敛网的结构，建立了完整的连续偏序集的下收敛理论。

Abstract In this paper,the structutes of convergence nets with reapect to Scott topology and Lawson topology over continuous posets are exploited by introducing the concepts of lower-convergence and Lower-level-convergence. And the theory of lower-convergence over continuous posets is founded fully.