| 关于微分同胚的一个充分必要条件 |
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| 引用本文： | 李维萍,于永溪. 关于微分同胚的一个充分必要条件[J]. 数学研究及应用, 2000, 20(1): 1-22 |
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| 作者姓名： | 李维萍 于永溪 |
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| 作者单位： | 1. Dept. of Math., Oklahoma State University, Stillwater, Oklahoma 74078-613. U.S.A
2. 苏州大学数学系,215006 |
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| 摘 要： | 确定两个流形是否Cr-微分同胚是微分流形研究中的重要课题，本文定义了反层的概念，给出了反层范畴，由此找到两个微分流形，Cr-微分同胚的特征刻画，于是给出了一种较以往更优的判定法．
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| 关 键 词： | 微分同胚 微分流形 充要条件 流形 |
| 文章编号： | 1000-341(2000)01-0001-22 |
| 收稿时间： | 1998-10-07 |
A Necessary and Sufficient Condition on Diffeomorphisms |
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| Wei-ping LI and YU Yong-xi. A Necessary and Sufficient Condition on Diffeomorphisms[J]. Journal of Mathematical Research with Applications, 2000, 20(1): 1-22 |
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| Authors: | Wei-ping LI and YU Yong-xi |
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| Affiliation: | Dept of Math.; Oklahoma State University; Stillwater; Oklahoma 74078-0613; U.S.A;Dept. of Math.; Suzhou University; 215006 |
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| Abstract: | We introduce anti-sheaves for Cr-manifolds and a category of anti-sheaves. The adjoint equivalence between the category of anti-sheaves and the category of Cr-manifolds is established. Using such an equivalence, we obtain a characterization for deciding whether two given manifolds arc Cr-diffeomorphic in terms of inherent W.(G)- sheaves. This provides the first known criterion for determining whether two given man- ifolds are diffeomorphic. |
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| Keywords: | Cr-dffeomorphism adjoint equivalence inherent W.G.-sheaf. |
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