JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2025, Vol. 60 ›› Issue (11): 153-158.doi: 10.6040/j.issn.1671-9352.0.2024.085

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The ce-topology and cρ-topology on consistently continuous posets

GUO Zhilian1, YANG Hailong2*   

  1. 1. College of Economics, Northwest University of Political Science and Law, Xian 710063, Shaanxi, China;
    2. College of Mathematics and Statistics, Shaanxi Normal University, Xian 710119, Shaanxi, China
  • Published:2025-11-11

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Abstract: The definitions of ce-topology and cρ-topology on consistently directedly complete posets are introduced. Some properties of them on consistently continuous posets are given. Furthermore, it is obtained that the basis on a consistently continuous partial order set is topologically dense.

Key words: consistently continuous posets, ce-topology, cρ-topology, continuous lattice

CLC Number: 

  • O153.1
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