| 乘积空间的自同伦等价群的子群 |
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| 引用本文： | 俞海波,赵浩.乘积空间的自同伦等价群的子群[J].华南师范大学学报(自然科学版),2012,44(2):15-0. |
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| 作者姓名： | 俞海波 赵浩 |
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| 作者单位： | 1.1.华南师范大学数学科学学院 |
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| 基金项目： | 国家自然科学基金，教育部博士点基金，华南师范大学青年教师科研培育基金 |
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| 摘 要： | 主要研究拓扑空间X,Y的乘积X×Y的自同伦等价群的子群$\mathscr{E}_\#(X\times Y)$
与$\mathscr{E}_\Omega(X\times Y)$以及它们的p-局部化情形, 得到了相应可裂的短正合序列. 其中p为素数.
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| 关 键 词： | 自同伦等价 乘积 p-局部化 |
| 收稿时间： | 2011-10-12 |
The Subgroups of the Group with Self-Homotopy Equivalences in Product Spaces |
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| YU Haibo
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ZHAO Hao.The Subgroups of the Group with Self-Homotopy Equivalences in Product Spaces[J].Journal of South China Normal University(Natural Science Edition),2012,44(2):15-0. |
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| Authors: | YU Haibo ZHAO Hao |
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| Institution: | (School of Mathematics,South China Normal University,Guangzhou 510631,China) |
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| Abstract: | The subgroups #(X×Y) and Ω(X×Y) of the group(X×Y) with self-homotopy equivalences as well as their p-localization are studied.Some corresponding short split exact sequences are obtained,where p is a prime number. |
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| Keywords: | self-homotopy equivalences product space p-localization |
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