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格化拓扑与经典拓扑及Fuzzy拓扑的关系

The Relations of Latticized Topology to General Topology and Fuzzy Topology

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【作者】 汪培庄阎建平彭先图张星虎

【Author】 Wang Peizhuang Yan Jianping Peng Xiantu Zhang Xinghu(Beijing Normal University)

【机构】 北京师范大学北京师范大学

【摘要】 本文揭示了格化拓扑与普通拓扑、超拓扑、Fuzzy拓扑、完全格上内蕴拓扑、连续格及拓扑格之间的关系。

【Abstract】 In this paper, we revcal she relations of latticized topology to general topology, hypertopology, Fuzzy topology, the intrinsic topologies on a complete lattice, continuous lattices and topological lattices. We also prove that the interval topology and crder topology on molecular lattice F(X) is equivalent, and give a necessary and sufficient condition of being a continuous lattice, which is presented in terms of the topological convergence.

  • 【文献出处】 太原重型机械学院学报 ,Journal of Taiyuan Heavy Machinery Institute , 编辑部邮箱 ,1985年S1期
  • 【下载频次】54
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