The Lawson Topology on Quasicontinuous Domains
The Lawson Topology on Quasicontinuous Domains
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DOI：
10.1007/978-94-010-0654-5_2
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
Xiaoquan Xu
中科院分区：
文献类型：
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作者：
Xiaoquan Xu
对于有向完备偏序集P，设λ（P）和σ（P）分别是P上的下拓扑和Lawson拓扑.构造性地证明了：若P是拟连续整环，且（P，λ（P））中的所有下闭子集在（P，ω（P））中闭，则（P，λ（P））是严格完全正则序空间.
For a directed complete posetP, let λ(P) and σ(P) be the lower topology and the Lawson topology onPrespectively. We constructively prove that ifPis a quasicontinuous domain and all lower closed subsets in (P, λ(P)) are closed in (P, ω(P)),then (P,λ(P)) is strictly completely regular ordered space.