| 关于同伦满态与覆叠空间 |
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| 引用本文： | 林红,沈文淮.关于同伦满态与覆叠空间[J].数学学报,1994,37(4):475-481. |
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| 作者姓名： | 林红 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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| 基金项目： | 国家自然科学基金，广东省自然科学基金资助项目 |
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| 摘 要： | 本文在点标道路连通ＣＷ空间的同伦范畴中，利用同伦推出示性了同伦满态，得出了若ｆ：Ｘ－Ｙ是同伦满态，则对π１Ｙ的任一正规子群Ｈ，升腾映射ｆ：Ｘ（ｆ－１＃（Ｈ））→■（Ｈ）也是同伦满态．
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| 关 键 词： | 同伦满态 同伦推出 覆叠空间 升腾 |
| 收稿时间： | 1991-12-18 |
| 修稿时间： | 1992-12-21 |
On Homotopy Epimorphisms and Covering Spaces |
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| Lin Hong,Shen Wenhuai.On Homotopy Epimorphisms and Covering Spaces[J].Acta Mathematica Sinica,1994,37(4):475-481. |
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| Authors: | Lin Hong Shen Wenhuai |
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| Institution: | Lin Hong, Shen Wenhuai (South China Normal University, Guangzhou 510631, China) |
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| Abstract: | In this paper, we study in the homotopy category of pointed path-connected CW-spaces. Using homotopy pushouts to characterize homotopy epimorphisms, we have the result as follows: If f: X→ Y is a homotopy epimorphism, H is a normal subgroup of π1Y, then the lifting f: X(f#-l(H)) → Y(H) is also a homotopy epimorphism. |
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| Keywords: | homotopy epimorphisms homotopy pushouts covering spaces liftings |
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