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拟半连续格和交半连续格 被引量：8

Quasi-semicontinuous Lattices and Meet-semicontinuous Lattices
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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。 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, meetcontinuous lattices, meet-semicontinuous lattices, semicontinuous lattices and strongly continuous lattices is studied. Finally the conditions under which the function space of semicontinuous lattices is semicontinuous are discussed.
作者 伍秀华 李庆国
机构地区 中南林业科技大学数学与物理研究所 湖南大学数学与计量经济学院
出处 《模糊系统与数学》 CSCD 北大核心 2008年第6期11-16,共6页 Fuzzy Systems and Mathematics
基金 国家自然科学基金资助项目(10771056) 湖南省自然科学基金资助项目(06JJ2004108JJ3132)
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 Lattice Meet-semicontinuous Lattice 〈=-relation Strongly Semicontinuous Mapping Function Space
分类号 O153 [理学—基础数学]
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参考文献11

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二级参考文献34

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共引文献36

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模糊系统与数学
2008年 第6期

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