| 用范畴观点划分几何学 |
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| 引用本文： | 陈启旭.用范畴观点划分几何学[J].福建师范大学学报(自然科学版),1991,7(4):9-11. |
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| 作者姓名： | 陈启旭 |
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| 作者单位： | 福建师范大学数学系 |
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| 摘 要： | 本文利用范畴知识来推广克莱因关于几何学的群论原则。其方法是:取由一些等势集合及一一对应组成的范畴来代替由集合到自身的一些一一变换组成的群,考察图形在这些对应下不变的性质与有关的量。
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| 关 键 词： | 范畴 特殊子范畴 几何学 |
Classification of Geometries by Point of View of Category |
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| Chert Qixu.Classification of Geometries by Point of View of Category[J].Journal of Fujian Teachers University(Natural Science),1991,7(4):9-11. |
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| Authors: | Chert Qixu |
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| Institution: | Department of Mathematics |
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| Abstract: | This paper suggests using the theory of category to classify geometries instegad of Klein's approach by transformation group. Our method is appropriate not only to classical geometries, but also to modern geometries. |
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| Keywords: | category special subcategory geometry of a category |
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