| Banach流形上映射度 |
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| 引用本文： | 安丰稳.Banach流形上映射度[J].数学学报,2002,45(1):7-14. |
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| 作者姓名： | 安丰稳 |
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| 作者单位： | 南京大学数学系,江苏,南京,210093 |
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| 摘 要： | 本文讨论一种无限维流形上拓扑不变量，即具有可定向Ｆｒｅｄｈｏｌｍ结构的实Ｂａｎａｃｈ流形上 Ｃｒ 映射度．它是通常有限维流形上光滑映射度的一种自然推广．
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| 关 键 词： | Banach流形 映射度 Fredholm结构 |
| 文章编号： | 0583-1431(2002)01-0007-08 |
Mapping Degrees on Banach Manifolds |
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| AN Feng Wen.Mapping Degrees on Banach Manifolds[J].Acta Mathematica Sinica,2002,45(1):7-14. |
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| Authors: | AN Feng Wen |
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| Institution: | AN Feng Wen (Department of Mathematics, Nanjing University, Nanjing 210093 , P. R. China ) ( E-mail: fwan@nju.edu.cn) |
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| Abstract: | We discuss a type of topological invariants on the infinite-dimensional manifolds, that is, Cr mapping degrees on Banach manifolds with orientable Fredholm structures. Our degree theory is an intrinsical extension and unification of the usual smooth mapping degrees on the finite-dimensional manifolds. |
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| Keywords: | Banach manifolds Fredholm structures Mapping degrees |
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