Zhaorong He ; Zhongqiang Yang ; Dongsheng Zhao - Quasiexact posets and the moderate meet-continuity

entics:10383 - Electronic Notes in Theoretical Informatics and Computer Science, March 21, 2023, Volume 2 - Proceedings of ISDT 9 - https://doi.org/10.46298/entics.10383
Quasiexact posets and the moderate meet-continuityArticle

Authors: Zhaorong He ; Zhongqiang Yang ; Dongsheng Zhao

    The study of weak domains and quasicontinuous domains leads to the consideration of two types generalizations of domains. In the current paper, we define the weak way-below relation between two nonempty subsets of a poset and quasiexact posets. We prove some connections among quasiexact posets, quasicontinuous domains and weak domains. Furthermore, we introduce the weak way-below finitely determined topology and study its links to Scott topology and the weak way-below topology first considered by Mushburn. It is also proved that a dcpo is a domain if it is quasiexact and moderately meet continuous with the weak way-below relation weakly increasing.


    Volume: Volume 2 - Proceedings of ISDT 9
    Published on: March 21, 2023
    Accepted on: November 29, 2022
    Submitted on: November 29, 2022
    Keywords: Mathematics - General Topology

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