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A unified approach to some non-Hausdorff topological properties
Citation
Li, Q., Yuan, Z., & Zhao, D. (2021). A unified approach to some non-Hausdorff topological properties. Mathematical Structures in Computer Science, 30(9), 997-1010. https://doi.org/10.1017/S0960129521000025
Abstract
Sobriety, well-filteredness, and monotone convergence are three of the most important properties of topological spaces extensively studied in domain theory. Some other weak forms of sobriety and well-filteredness have also been investigated by some authors. In this paper, we introduce the notion of Θ-fine spaces, which provides a unified approach to such properties. In addition, this general approach leads to the definitions of some new topological properties.
Date Issued
2021
Publisher
Cambridge University Press
Journal
Mathematical Structures in Computer Science
Grant ID
National Natural Science Foundation of China (Grant no.: 11771134)
MOE Academic Research Fund (Grant no.: RI 3/16 ZDS)
Funding Agency
National Natural Science Foundation of China
Ministry of Education, Singapore