A Regular Value of a Compact Deformation

J. M. Soriano

Volume 27 Issue 9

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J. M. Soriano. A Regular Value of a Compact Deformation[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1108-1116.

Citation:

J. M. Soriano. A Regular Value of a Compact Deformation[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1108-1116.

Citation:

J. M. Soriano. A Regular Value of a Compact Deformation[J]. Applied Mathematics and Mechanics, 2006, 27(9): 1108-1116.

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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

Received Date: 2005-09-01
Rev Recd Date: 2006-05-28
Publish Date: 2006-09-15

Abstract

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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References(28)

References

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