S2-Quasicontinuous posets
S2-Quasicontinuous posets
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DOI：
10.1016/j.tcs.2015.01.037
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发表时间：
2015-04
期刊：
影响因子：
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通讯作者：
Wenfeng Zhang;Xiaoquan Xu
中科院分区：
文献类型：
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作者：
Wenfeng Zhang;Xiaoquan Xu
本文考虑了s2-连续偏序集和拟连续整环的一个共同推广，并引入了way below关系和s2-拟连续偏序集的新概念。主要结果是：（1）s2-拟连续偏序集上的waybelow关系具有插值性质;（2）s2-拟连续偏序集上的λ 2-拓扑是完全正则的;（3）偏序集是s2-连续的当且仅当它满足s2-连续和s2-拟连续.
In this paper, we consider a common generalization of both s 2-continuous posets and quasicontinuous domains, and we introduce new concepts of way below relations and s 2-quasicontinuous posets. The main results are:(1) The way below relation on an s 2-quasicontinuous poset has the interpolation property;(2) The λ 2-topology on an s 2-quasicontinuous poset is completely regular;(3) A poset is s 2-continuous iff it is meet s 2-continuous and s 2-quasicontinuous.