李维萍,于永溪.关于微分同胚的一个充分必要条件(英文)[J].数学研究及应用,2000,20(1):1~22 |
关于微分同胚的一个充分必要条件(英文) |
A Necessary and Sufficient Condition on Diffeomorphisms |
投稿时间:1998-10-07 |
DOI:10.3770/j.issn:1000-341X.2000.01.001 |
中文关键词: |
英文关键词:Cr-dffeomorphism adjoint equivalence inherent W.G.-sheaf. |
基金项目: |
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中文摘要: |
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. |
英文摘要: |
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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