| 拟半连续格和交半连续格 |
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| 引用本文： | 伍秀华,李庆国.拟半连续格和交半连续格[J].模糊系统与数学,2008,22(6). |
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| 作者姓名： | 伍秀华 李庆国 |
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| 作者单位： | 1. 中南林业科技大学,数学与物理研究所,湖南,长沙,410004
2. 湖南大学,数学与计量经济学院,湖南,长沙,410082 |
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| 基金项目： | 国家自然科学基金资助项目
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湖南省自然科学基金资助项目
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| 摘 要： | 作为半连续格的推广, 引入了拟半连续格的概念. 讨论了拟半连续格的基本性质. 在拟半连续格上得到了类似于拟连续偏序集的一些主要结果. 同时探讨了半连续格、拟半连续格、交半连续格、交连续格、强连续格几种不同结构之间的关系. 最后,讨论了半连续函数空间仍是半连续格的条件.
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| 关 键 词： | (←)-关系 拟半连续格 交半连续格 强半连续映射 函数空间 |
Quasi-semicontinuous Lattices and Meet-semicontinuous Lattices |
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| WU Xiu-hua,LI Qing-guo.Quasi-semicontinuous Lattices and Meet-semicontinuous Lattices[J].Fuzzy Systems and Mathematics,2008,22(6). |
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| Authors: | WU Xiu-hua LI Qing-guo |
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| Institution: | WU Xiu-hua1,LI Qing-guo2 (1.Institute of Mathematics , Physics,Central South University of Forestry , Technology,Changsha 410004,China,2.College of Mathematics , Econometrics,Hunan University,Changsha 410082,China) |
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| Abstract: | As a generalization of semicontinuous lattices,the quasi-semicontinuous lattice is introduced and its some basic properties are investigated.The main results of the theory of semicontinuous lattices are carried to quasi-semicontinuous lattices.Moreover,the relation among quasi-semcontinuous lattices,meet-continuous lattices,meet-semicontinuous lattices,semicontinuous lattices and strongly continuous lattices is studied.Finally the conditions under which the function space of semicontinuous lattices is semic... |
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