Publication: Teoría de la forma y sistemas dinámicos II
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Publication Date
2004
Authors
Giraldo Carbajo, Antonio
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Publisher
Editorial Complutense
Abstract
Summary (translated from the Spanish): "In this expository paper we present some relations between the two branches of mathematics mentioned in the title. In particular, we prove some cohomological properties of the non-saddle decomposition of a compact ANR. We also present a study, based on shape theory, of the isolating neighborhoods of isolated invariant sets, from which we obtain a characterization of the attractors and some new results on the Lefschetz duality of the Conley index. Finally, we study the Morse equations for a Morse decomposition of an isolated invariant set.''