| 导出极限序同态及逆系统的范畴性质 |
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| 引用本文： | 李生刚.导出极限序同态及逆系统的范畴性质[J].青海师范大学学报(自然科学版),1992(2). |
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| 作者姓名： | 李生刚 |
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| 作者单位： | 陕西师范大学 |
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| 摘 要： | 在文1]的基础上,引入了LF拓扑空间的逆系统之间的映射以及导出极限序同态的概念,讨论了极限序同态的一些性质;利用LF拓扑空间的逆系统的极限刻划了范畴LFTZ中的投影极限;最后讨论了一些范畴的投影完备性.
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| 关 键 词： | 逆系统 逆极限 极限序同态 投影极限 投影完备性 |
INDUCED LIMIT ORDER-HOMOMORPHISMS AND CATEGORICAL PROPERTIES OF INVERS SYSTEMS |
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| Li Shenggang Shaan xi Normal University.INDUCED LIMIT ORDER-HOMOMORPHISMS AND CATEGORICAL PROPERTIES OF INVERS SYSTEMS[J].Journal of Qinghai Normal University(Natural Science Edition),1992(2). |
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| Authors: | Li Shenggang Shaan xi Normal University |
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| Institution: | Li Shenggang Shaan xi Normal University |
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| Abstract: | In this paper,based on1],the mappings between invers systems of LF topol- ogical spaces and the limit order-homomorphisms induced by it are defined,some properties of the limit order-homomorphisms are discussed,and the projective limits in category LFTZ are characterized in terms of the limit of inverse systems.Finally the pro-completeness of several categorys is discussed. |
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| Keywords: | Inverse system Inverse limit Limit order-homomorphism Projective limit Pro-completeness |
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