On the two definitions of the Conley index
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- by Henry L. Kurland PDF
- Proc. Amer. Math. Soc. 106 (1989), 1117-1130 Request permission
Abstract:
The two definitions of the homotopy equivalences between Conley index spaces of an isolated invariant set, the original one of Conley [C] as completed by the author in [K1] and the more recent definition of Salamon [S], are shown to define the same homotopy classes without reference to the difficult proof of [K1] showing the Conley index to be a connected simple system. The equivalences of the original definition are useful in describing certain geometric situations in terms of the index; examples are given.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 106 (1989), 1117-1130
- MSC: Primary 58F25
- DOI: https://doi.org/10.1090/S0002-9939-1989-0982405-9
- MathSciNet review: 982405