对于Z-连通连续偏序集,证明了其上Z-连通Lawson拓扑空间是完全正则的,讨论了其可度量化的一个充分条件。
For z-connected continuous poset P,it proves that z-connected continuous poset P with z-connected Lawson topology is completely regular space.In addition,if it is also second-countable space then(P,λc(P))is metrizable.