Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Poincaré-Lefschetz duality for the homology Conley index


Author: Christopher McCord
Journal: Trans. Amer. Math. Soc. 329 (1992), 233-252
MSC: Primary 58F25; Secondary 55N20, 58F09
MathSciNet review: 1036005
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The Conley index for continuous dynamical systems is defined for (one-sided) semiflows. For (two-sided) flows, there are two indices defined: one for the forward flow; and one for the reverse flow. In general, the two indices give different information about the flow; but for flows on orientable manifolds, there is a duality isomorphism between the homology Conley indices of the forward and reverse flows. This duality preserves the algebraic structure of many of the constructions of the Conley index theory: sums and products; continuation; attractor-repeller sequences and connection matrices.


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


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 58F25, 55N20, 58F09

Retrieve articles in all journals with MSC: 58F25, 55N20, 58F09


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1992-1036005-X
PII: S 0002-9947(1992)1036005-X
Keywords: Conley index, homology Conley index, Poincaré duality
Article copyright: © Copyright 1992 American Mathematical Society