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Geometric Topology II
September 29 - October 5, 2002
Inter-University Center, Dubrovnik; Department of Mathematics, University of Zagreb
Dubrovnik, Croatia

Organizers
Ivan Ivansic, University of Zagreb;, James E. Keesling, University of Florida;, Alexander N. Dranishnikov, University of Florida;, Sime Ungar, University of Zagreb

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Morse Decompositions and Hopf Duality of Isolated Invariant Sets
by
Jose M. R. Sanjurjo
Universidad Complutense, Madrid, Spain

We study some shape properties of an attractor-repeller decomposition of an isolated invariant set of a flow. We show how some classical results, for example the Churchill sequence and the exact sequence of an attractor-repeller decomposition, can be derived from this approach. We also use our results to establish the Morse equations of a Morse decomposition in terms of the truncated unstable manifolds of the Morse sets and to study some forms of Hopf duality of isolated invariant sets.

Date received: August 17, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caje-48.