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Título:
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About the homological discrete Conley index of isolated invariant acyclic continua
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Autores:
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Hernández Corbato, Luis ;
Le Calvez , Patrice ;
Romero Ruiz del Portal, Francisco
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Tipo de documento:
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texto impreso
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Editorial:
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Geometry & Topology Publications, Univ Warwick, Mathematics Inst, 2013
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometría
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Tipo = Artículo
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Resumen:
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This article includes an almost self-contained exposition on the discrete Conley index and its duality. We work with a locally defined homeomorphism f in R-d and an acyclic continuum X, such as a cellular set or a fixed point, invariant under f and isolated. We prove that the trace of the first discrete homological Conley index of f and X is greater than or equal to -1 and describe its periodical behavior. If equality holds then the traces of the higher homological indices are 0. In the case of orientation-reversing homeomorphisms of R-3, we obtain a characterization of the fixed point index sequence {i(f(n) (,) p}n >= 1 for a fixed point p which is isolated as an invariant set. In particular, we obtain that i(f , p)
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