中文摘要：

可数逼近偏序集是连续偏序集的一种推广，讨论了可数逼近偏序集的一些拓扑性质以及与连续映射相关的性质，结果表明：可数逼近偏序集具有许多类似于连续偏序集的良好性质。

英文摘要：

Countably approximating posets are generalizations of continuous posets. Some topological properties of countably approximating posets and the properties relative to continuous mappings in countably approximating posets are presented. These results show that countably approximating posets have many“good”properties which are simi-lar to that of continuous posets.