| 覆盖同伦定理的有关讨论 |
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| 引用本文： | 崔秀新.覆盖同伦定理的有关讨论[J].新疆师范大学学报(自然科学版),1996(3). |
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| 作者姓名： | 崔秀新 |
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| 作者单位： | 新疆师范大学数学系 |
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| 摘 要： | 覆盖空间的理论不仅在拓朴学中,而且在一些相关学科如微分几何,李群,黎曼曲面的理论中都有着重要的作用.覆盖同伦定理是覆盖空间的理论中的一个重要定理.但此定理的条件在一些著作中有着不同的规定.本文主要指出了1]中的覆盖同伦定理的条件不充分,并补充了定理的条件.
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| 关 键 词： | 提升 连通空间 覆盖空间 |
DISCUSSION ON COVERING HOMOTOPY THEOREM |
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| Cui Xiuxin.DISCUSSION ON COVERING HOMOTOPY THEOREM[J].Journal of Xinjiang Normal University(Natural Sciences Edition),1996(3). |
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| Authors: | Cui Xiuxin |
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| Abstract: | The theory of covering spaces is important not only in topology, but also in related disciplines such as differential geometry, the theory of lie Groups, and the theory of Rie-mann surfaces. The Covering Homotopy theorem is also important in the theory of covering spaces, This paper point out the condition of Corering Homotopy Theorem in 1] is insufficient, and gives a sufficient condition. |
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| Keywords: | lifting conncted covering spaces |
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