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Título:
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Some duality properties of non-saddle sets
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Autores:
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Giraldo, A. ;
Morón, Manuel A. ;
Romero Ruiz del Portal, Francisco ;
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, 2001-06-29
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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: Topología
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Tipo = Artículo
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Resumen:
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We show in this paper that the class of compacts that call be isolated non-saddle sets of flows in ANRs is precisely the class of compacta with polyhedral shape. We also prove-reinforcing the essential role played by shape theory in this setting-that the Conley index of a regular isolated non-saddle set is determined, in certain cases, by its shape. We finally introduce and study the notion of dual of a non-saddle set. Examples of compacta related by duality are attractor-repeller pairs. We use the complement theorems in shape theory to prove that the shape of the dual set is determined by the shape of the original non-saddle set.
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En línea:
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https://eprints.ucm.es/id/eprint/15410/1/18.pdf
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