| Group of Self-Equivalences of Sum Object |
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| 作者姓名： | Hao ZHAO Wen Huai SHEN |
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| 作者单位： | [1]School of Mathematical Sciences, Nankai University, Tianjin 300071, P. R. China [2]School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P. R. China |
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| 摘 要： |
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| 关 键 词： | 群论 自同态 代数学 和目标 |
| 收稿时间： | 2006-03-13 |
| 修稿时间： | 2007-03-29 |
Group of Self-Equivalences of Sum Object |
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| Hao ZHAO Wen Huai SHEN.Group of Self-Equivalences of Sum Object[J].Acta Mathematica Sinica,2007,23(12):2145-2154. |
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| Authors: | Hao Zhao Wen Huai Shen |
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| Institution: | (1) School of Mathematical Sciences, Nankai University, Tianjin, 300071, P. R. China;(2) School of Mathematical Sciences, South China Normal University, Guangzhou, 510631, P. R. China |
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| Abstract: | In general category, the group of self-equivalences of sum object can decompose as the product of its two subgroups under certain conditions and also several split short exact sequences are obtained. Subsequently, we apply the above results to the category of space under a space and get some results which are dual to those in fibrewise category. |
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| Keywords: | group of self-equivalences fibrewise category category of space under a space |
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