On the Hopf index and the Conley index

Author:
Christopher K. McCord

Journal:
Trans. Amer. Math. Soc. **313** (1989), 853-860

MSC:
Primary 58F25; Secondary 55M20

MathSciNet review:
961594

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Abstract: The following generalization of the Poincaré-Hopf index theorem is proved: If is an isolated invariant set of a flow on a manifold , then the sum of the Hopf indices on is equal (up to a sign) to the Euler characteristic of the homology Conley index of .

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DOI:
http://dx.doi.org/10.1090/S0002-9947-1989-0961594-0

Article copyright:
© Copyright 1989
American Mathematical Society