紧形变的一个正则值

J·M·索里阿诺

紧形变的一个正则值

J·M·索里阿诺

塞维纳大学数学学院数学系,塞维纳 41080 西班牙

基金项目: G. G. E. S. 基金资助项目(Pb96-1338-CO2-01);the Juta de Andalucia基金资助项目

详细信息

中图分类号: O154.3
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- 被引次数: 0
出版历程
- 收稿日期: 2005-09-01
- 修回日期: 2006-05-28
- 刊出日期: 2006-09-15

A Regular Value of a Compact Deformation

J. M. Soriano

Departamento de Anlisis Matemtico, Facultad de Matemticas, Universidad de Sevilla, Aptdo. 1160, Sevilla 41080, Spain

摘要

摘要: 给出了在K上的任意两个Banach空间之间，Fredholm映射在一个特定的开球中，至少有一个共同值的充分条件．结论的证明基于解析开拓法，并具有可构造性．
- 正则值 /
- 解析开拓法 /
- 连续相关定理 /
- C1-同伦 /
- 真映射 /
- 紧映射 /
- Fredholm映射 /
- 拓扑补集 /
- Sard-Smale定理
Abstract: Sufficient conditions were given to assert that between any two Banach spaces over K, Fredholm mappings share at least one value in a specific open ball. The proof of the result is constructive and is based upon continuation methods.
- regualr value /
- continuation methods /
- continuous dependence theorem /
- C¹-homotopy /
- proper mapping /
- compact mapping /
- fredholm mapping /
- topological complement /
- Sard-Smale theorem

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参考文献(28)

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