Chong Shen ; Xiaoyong Xi ; Dongsheng Zhao - Further studies on open well-filtered spaces

entics:10392 - Electronic Notes in Theoretical Informatics and Computer Science, March 21, 2023, Volume 2 - Proceedings of ISDT 9 - https://doi.org/10.46298/entics.10392
Further studies on open well-filtered spacesArticle

Authors: Chong Shen ; Xiaoyong Xi ; Dongsheng Zhao

    The open well-filtered spaces were introduced by Shen, Xi, Xu and Zhao to answer the problem whether every core-compact well-filtered space is sober. In the current paper we explore further properties of open well-filtered spaces. One of the main results is that if a space is open well-filtered, then so is its upper space (the set of all nonempty saturated compact subsets equipped with the upper Vietoris topology). Some other properties on open well-filtered spaces are also studied.


    Volume: Volume 2 - Proceedings of ISDT 9
    Published on: March 21, 2023
    Accepted on: December 6, 2022
    Submitted on: November 30, 2022
    Keywords: Mathematics - General Topology

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