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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
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.
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References
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