| 拓扑和的自同伦等价群 |
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| 引用本文： | 俞海波,沈文淮. 拓扑和的自同伦等价群[J]. 数学学报, 2005, 48(5): 895-900. DOI: cnki:ISSN:0583-1431.0.2005-05-008 |
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| 作者姓名： | 俞海波 沈文淮 |
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| 作者单位： | 华南师范大学数学系,广州510631 |
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| 摘 要： | 如果拓扑空间X,Y的拓扑和X∨Y的自同伦等价可以对角化,则X∨Y的自同伦等价群Aut(X∨Y)可表示为它的两个子群Autx(X∨Y)与AutY(X∨y)的乘积.
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| 关 键 词： | 自同伦等价 拓扑和 对角化 |
| 文章编号： | 0583-1431（2005）05-0895-06 |
| 收稿时间： | 2003-10-23 |
| 修稿时间： | 2003-10-232004-07-28 |
The Group of Self-Homotopy Equivalences of Wedge Spaces |
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| Yu HaiBo;Shen WenHuai. The Group of Self-Homotopy Equivalences of Wedge Spaces[J]. Acta Mathematica Sinica, 2005, 48(5): 895-900. DOI: cnki:ISSN:0583-1431.0.2005-05-008 |
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| Authors: | Yu HaiBo Shen WenHuai |
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| Affiliation: | Hai Bo YU Wen Huai SHEN Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China |
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| Abstract: | The group of self-homotopy equivalences Aut (X ∨ Y) is represented as a product of two subgroups Autx(X ∨ Y) and Aut Y(X ∨ Y) under the assumption that the self-equivalences of X ∨ Y can be diagonalized. |
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| Keywords: | Self-homotopy equivalence The wedge space Diagonalize |
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