| 邻域系算子范畴及相关性质 |
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| 引用本文： | 张琼,吴洪博. 邻域系算子范畴及相关性质[J]. 宁夏大学学报(自然科学版), 2010, 31(2): 112-115,120 |
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| 作者姓名： | 张琼 吴洪博 |
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| 作者单位： | 陕西师范大学,数学与信息科学学院,陕西,西安,710062 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 对拓扑空间中的邻域系性质进行了进一步研究.提出了邻域系算子和邻域连续映射的概念,定义了邻域系算子范畴,讨论了该范畴上的余积和乘积,并证明了邻域系算子范畴与拓扑范畴是同构的2个范畴.
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| 关 键 词： | 范畴论 邻域系算子 乘积 余积 范畴的同构 |
The Category of Neighborhood System Operator and Its Relative Properties |
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| Zhang Qiong,Wu Hongbo. The Category of Neighborhood System Operator and Its Relative Properties[J]. Journal of Ningxia University(Natural Science Edition), 2010, 31(2): 112-115,120 |
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| Authors: | Zhang Qiong Wu Hongbo |
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| Affiliation: | (School of Mathematics and Information Sciences,Shaanxi Normal University,Xi＇an 710062,China) |
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| Abstract: | To make further study of the properties of neighborhood system in the topology,the definitions of neighborhood system operator and neighborhood continuous mapping are introduced.Then the definition of the category of neighborhood system operator is given and its product and coproduct are discussed.In the end of paper,it is proved that the category of neighborhood system operator is isomorphic to topological category. |
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| Keywords: | category theory neighborhood system operator product coproduct isomorphism of categories |
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