On the Hopf index and the Conley index
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- by Christopher K. McCord PDF
- Trans. Amer. Math. Soc. 313 (1989), 853-860 Request permission
Abstract:
The following generalization of the Poincaré-Hopf index theorem is proved: If $S$ is an isolated invariant set of a flow on a manifold $M$, then the sum of the Hopf indices on $S$ is equal (up to a sign) to the Euler characteristic of the homology Conley index of $S$.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 313 (1989), 853-860
- MSC: Primary 58F25; Secondary 55M20
- DOI: https://doi.org/10.1090/S0002-9947-1989-0961594-0
- MathSciNet review: 961594