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Stability of critical points under small perturbations Part I: Topological theory

โœ Scribed by Michael Reeken

Publisher
Springer
Year
1972
Tongue
English
Weight
814 KB
Volume
7
Category
Article
ISSN
0025-2611

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Spectral flow is a well-known homotopy invariant of paths of selfadjoint Fredholm operators. We describe here a new construction of this invariant and prove the following theorem: Let : I\_U ร„ R be a C 2 function on the product of a real interval I=[a, b] with a neighborhood U of the origin of a rea