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A refinement of the Conley index and an application to the stability of hyperbolic invariant sets

Published online by Cambridge University Press:  19 September 2008

Andreas Floer
Andreas Floer
Affiliation:
Institut für Mathematik der Ruhr-Universität Bochum, Universitätsstraβe 150, D-4630 Bochum, West Germany
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Abstract

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A compact and isolated invariant set of a continuous flow possesses a so called Conley index, which is the homotopy type of a pointed compact space. For this index a well known continuation property holds true. Our aim is to prove in this context a continuation theorem for the invariant set itself, using an additional structure. This refinement of Conley's index theory will then be used to prove a global and topological continuation-theorem for normally hyperbolic invariant sets.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 7 , Issue 1 , March 1987 , pp. 93 - 103
Copyright
Copyright © Cambridge University Press 1987

References

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