| 拓扑分子格范畴中的逆系统及其逆极限 |
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| 引用本文： | 赵彬.拓扑分子格范畴中的逆系统及其逆极限[J].陕西师范大学学报,1998,26(1):1-7. |
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| 作者姓名： | 赵彬 |
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| 作者单位： | 陕西师范大学数学系 |
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| 基金项目： | 国家自然科学基金,国家教委优秀青年教师基金 |
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| 摘 要： | 从范畴论的观点给出了拓扑分子格中逆系统的定义，得到了逆系统的逆极限结构，引入了两个逆系统之间映射的定义，由此导出了两个逆系统的逆极限之间的连续映射，称之为极限映射．最后，讨论了极限映射的一系列性质．
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| 关 键 词： | 范畴极限 拓扑分子格 逆系统 逆极限 极限映射 |
Inverse limit of inverse system in category of topological molecular lattices |
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| Abstract: | The definition of an inverse system in the category of topological molecular lattices is introduced for the first time, and the structure of inverse limit of an inverse system is described . Then the concept of a mapping between two inverse systems is established, and the concept of a continuous mapping between the inverse limits of two inverse systems is induced. Finally there is a discussion of properties of continuous mappings. |
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| Keywords: | category limit topological molecular lattice inverse system inverse limit limit mapping |
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