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中文摘要：
在Z-完备偏序集中引入Z-Scott开滤子,并用Z-Scott开滤子的分离性、强分离性刻画Z-连续偏序集,得到Z-连续偏序集的二个刻画定理。
英文摘要：
Weak approximating elements of continuous poset have significant properties, and play an important role in characterizations of contiuous posets. In this paper, the concept of Scott open filters on continuous posers is introduced and an important property of weak approximating elements is studied. Further more, it discusses the properties of Scott open filters on continuous posets. With the help of Scott open filters, it give some characterizations of continuous posers.
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