| 拓扑偶的自同伦等价群 |
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| 引用本文： | 俞海波,沈文淮.拓扑偶的自同伦等价群[J].数学学报,2011(3):521-528. |
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| 作者姓名： | 俞海波 沈文淮 |
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| 作者单位： | 华南师范大学数学科学学院 |
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| 摘 要： | 研究拓扑偶范畴中的自同伦等价群.对于同伦可结合与同伦可逆的Co-H空间X与Y,我们将在一定的条件下得到一条可裂的短正合序列:1→(?)(X)→(?)(X(?)Y)→(?)(Y)→1.
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| 关 键 词： | 自同伦等价 拓扑偶 Co-H空间 |
The Groups of Self Homotopy Equivalences of Topological Pair |
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| Hai Bo YU Wen Huai SHEN.The Groups of Self Homotopy Equivalences of Topological Pair[J].Acta Mathematica Sinica,2011(3):521-528. |
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| Authors: | Hai Bo YU Wen Huai SHEN |
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| Institution: | Hai Bo YU Wen Huai SHEN School of Mathematical Sciences,South China Normal University, Guangzhou 510631,P.R.China |
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| Abstract: | We study the groups of self homotopy equivalences of topological pair in the category of topological pairs.For homotopy associative and inversive Co-H spaces X and Y,we obtain a split short exact sequence 1→(?)(X)→(?)(X∨Y)→(?)(Y)→1 under certain conditions. |
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| Keywords: | self-homotopy equivalences topological pair Co-H space |
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