Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


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
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 58F25, 55M20

Retrieve articles in all journals with MSC: 58F25, 55M20

Additional Information

PII: S 0002-9947(1989)0961594-0
Article copyright: © Copyright 1989 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia