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Título:
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Morse-Smale equations of non-saddle decompositions
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Autores:
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Giraldo, A. ;
Rodríguez Sanjurjo, José Manuel
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier Science, 2004
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometría
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Materia = Ciencias: Matemáticas: Topología
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Tipo = Artículo
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Resumen:
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The notion of a non-saddle decomposition of a compact ANR is introduced. This notion extends that of a an attractor-repeller pair. Some cohomological properties of non-saddle decompositions are studied. In particular, some inequalities in the spirit of the Morse-Smale equations for attractor-repeller pairs are obtained. These inequalities involve the ranks of the cohomological Conley index and also of a new cohomological invariant introduced here. The notion of a cyclic Morse decomposition is also introduced and it is proved that this kind of decomposition admits filtrations by non-saddle sets. Finally, these filtrations are used to obtain Morse-Smale equations that generalize those of a Morse decomposition.
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En línea:
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https://eprints.ucm.es/id/eprint/16820/1/RodSanjurjo10.pdf
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