Essential and density topologies of continuous domains
Essential and density topologies of continuous domains
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DOI：
10.1016/j.apal.2016.04.014
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发表时间：
2016-09
期刊：
影响因子：
--
通讯作者：
D. Rusu;Gabriel Ciobanu
中科院分区：
文献类型：
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作者：
D. Rusu;Gabriel Ciobanu
我们介绍和研究两个拓扑结构，以提供一个拓扑解释域理论的基础。关键的发现是，在连续域中，基恰好对应于这些新拓扑之一的稠密集。此外，我们提供了一个拓扑解释的基础上，以及新的代数域的特性。
We introduce and study two topologies in order to provide a topological interpretation of bases in domain theory. The key finding is that, in a continuous domain, bases correspond exactly to dense sets of one of these new topologies. Moreover, we provide a topological interpretation for several properties of the bases, as well as novel characterizations of algebraic domains.