Lawson紧代数L-域和Scott域的拓扑表示

IF 0.6 4区数学 Q3 MATHEMATICS

Algebra Universalis Pub Date : 2023-07-17 DOI:10.1007/s00012-023-00820-w

Longchun Wang, Xiangnan Zhou, Qingguo Li

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引用次数: 0

摘要

本文讨论了代数dcpos的两个重要子类与可能不是\（\textrm）的拓扑空间之间的关系{T}_0\)进行了讨论。通过考虑拓扑基的性质，引入了CFF空间和强CFF空间的概念。利用这些概念，Lawson紧代数L-域和Scott域成功地用纯拓扑术语表示。此外，还提供了代数dcpos的这两个子类所对应的范畴的等价性。这打开了一种查找non-\（\textrm的方法{T}_0\)域的拓扑特征。

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Topological representations of Lawson compact algebraic L-domains and Scott domains

In this paper, the relationships between two important subclasses of algebraic dcpos and topological spaces which may not be \(\textrm{T}_0\) are discussed. The concepts of CFF-spaces and strong CFF-spaces are introduced by considering the properties of their topological bases. With these concepts, Lawson compact algebraic L-domains and Scott domains are successfully represented in purely topological terms. Moreover, equivalences of the categories corresponding to these two subclasses of algebraic dcpos are also provided. This opens a way of finding non-\(\textrm{T}_0\) topological characterizations for domains.

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来源期刊

Algebra Universalis 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3 months

期刊介绍： Algebra Universalis publishes papers in universal algebra, lattice theory, and related fields. In a pragmatic way, one could define the areas of interest of the journal as the union of the areas of interest of the members of the Editorial Board. In addition to research papers, we are also interested in publishing high quality survey articles.