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International Journal of Mathematics and Mathematical Sciences
Volume 2004, Issue 26, Pages 1397-1401
http://dx.doi.org/10.1155/S0161171204202125

On Conley's fundamental theorem of dynamical systems

Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran

Received 25 February 2002

Copyright © 2004 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We generalize Conley's fundamental theorem of dynamical systems in Conley index theory. We also conclude the existence of a regular index filtration for every Morse decomposition.