| K—重的开映射与局部同胚映射 |
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| 引用本文： | 顾尚中.K—重的开映射与局部同胚映射[J].江南大学学报(自然科学版),1991,6(2):8-10. |
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| 作者姓名： | 顾尚中 |
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| 作者单位： | 江南大学基础课部 |
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| 摘 要： | 本文证明了:“每一定义在 T_2空间上的 k—重的开映射是局部同胚映射”,并以反例指出,如果把条件“T_2”改弱为“T_1”则结论不再成立。从而对 Gittings 关于 Mi—空间(i=1,2,3)逆象定理作了探讨。
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| 关 键 词： | K－重映射 局部同胚映射 Mi－空间 |
Open K-Multiple(k-to-one)Map and Locally Homeomorphic map |
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| Gu Shangzhong.Open K-Multiple(k-to-one)Map and Locally Homeomorphic map[J].Journal of Southern Yangtze University:Natural Science Edition,1991,6(2):8-10. |
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| Authors: | Gu Shangzhong |
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| Institution: | Dept.of Basic Courses |
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| Abstract: | This paper has proved that every open k-multiple(k-to-one)map from T2 space X onto space Y is a locally homeomorphie map and it confirms that the condition T2 cannot be substituted by T1 by giving a counter example.Thus a good exploration into Gittings' theorem on the inverse image of Mi-space(i= 1,2,3)is made by the author. |
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| Keywords: | finite-to-one map K-multiple(k-to-one)map locally homeomorphic map Mi-space(i=1 2 3) |
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